Luis Caffarelli

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Luis Caffarelli is affiliated with the following schools: University of Texas at Austin, University of Minnesota, University of Pavia, University of Buenos Aires, University of Chicago, New York University

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Luis Caffarelli

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Mathematics

Luis Caffarelli's Degrees

PhD Mathematics University of Buenos Aires

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According to Wikipedia, Luis Ángel Caffarelli is an Argentine-American mathematician. He studies partial differential equations and their applications. Career Caffarelli was born and grew up in Buenos Aires. He obtained his Masters of Science and Ph.D. at the University of Buenos Aires. His Ph.D. advisor was Calixto Calderón. He currently holds the Sid Richardson Chair at the University of Texas at Austin and is core faculty at the Oden Institute for Computational Engineering and Sciences. He also has been a professor at the University of Minnesota, the University of Chicago, and the Courant Institute of Mathematical Sciences at New York University. From 1986 to 1996 he was a professor at the Institute for Advanced Study in Princeton.

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Luis Caffarelli's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

An Extension Problem Related to the Fractional Laplacian (2006) (2633)
Partial regularity of suitable weak solutions of the navier‐stokes equations (1982) (1532)
Fully Nonlinear Elliptic Equations (1995) (1426)
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth (1989) (1167)
First order interpolation inequalities with weights (1984) (1029)
The Dirichlet problem for nonlinear second-order elliptic equations I (1984) (918)
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation (2006) (862)
The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian (1985) (847)
Existence and regularity for a minimum problem with free boundary. (1981) (716)
Interior a priori estimates for solutions of fully non-linear equations (1989) (615)
Regularity theory for fully nonlinear integro‐differential equations (2007) (585)
Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian (2007) (504)
Interior $W^{2,p}$ estimates for solutions of the Monge-Ampère equation (1990) (486)
Variational problems with two phases and their free boundaries (1984) (452)
On W1,p estimates for elliptic equations in divergence form (1998) (451)
The regularity of mappings with a convex potential (1992) (420)
A Geometric Approach to Free Boundary Problems (2005) (387)
Nonlocal minimal surfaces (2009) (381)
The obstacle problem revisited (1998) (381)
The regularity of free boundaries in higher dimensions (1977) (361)
A localization property of viscosity solutions to the Monge-Ampere equation and their strict convexity (1990) (351)
The dirichlet problem for nonlinear second‐order elliptic equations. II. Complex monge‐ampère, and uniformaly elliptic, equations (1985) (318)
Further qualitative properties for ellip-tic equations in unbounded domains (1997) (317)
Boundary regularity of maps with convex potentials (1992) (285)
Some regularity properties of solutions of Monge Ampère equation (1991) (280)
A harnack inequality approach to the regularity of free boundaries (1986) (266)
Variational problems with free boundaries for the fractional Laplacian (2010) (264)
Non-local Diffusions, Drifts and Games (2012) (254)
Regularity Results for Nonlocal Equations by Approximation (2009) (249)
Vortex condensation in the Chern-Simons Higgs model: An existence theorem (1995) (237)
Monotonicity for elliptic equations in unbounded Lipschitz domains (1997) (234)
Boundary regularity of maps with convex potentials – II (1996) (225)
Nonlinear Porous Medium Flow with Fractional Potential Pressure (2010) (205)
A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz (1989) (204)
Convexity of solutions of semilinear elliptic equations (1985) (200)
A Harnack Inequality Approach to the Regularity of Free Boundaries. Part I: Lipschitz Free Boundaries are $C^{1, \alpha}$ (1987) (198)
Uniform estimates and limiting arguments for nonlocal minimal surfaces (2011) (198)
Fractional elliptic equations, Caccioppoli estimates and regularity (2014) (198)
Convexity properties of solutions to some classical variational problems (1982) (197)
Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs (2001) (187)
Monotonicity Properties of Optimal Transportation¶and the FKG and Related Inequalities (2000) (183)
The initial trace of a solution of the porous medium equation (1983) (175)
A Parabolic Problem with a Fractional Time Derivative (2015) (174)
Nonlinear Second-Order Elliptic Equations V. The Dirichlet Problem for Weingarten Hypersurfaces (1988) (163)
The Evans-Krylov theorem for nonlocal fully nonlinear equations (2009) (162)
Regularity theory for parabolic nonlinear integral operators (2011) (157)
Free boundaries in optimal transport and Monge-Ampere obstacle problems (2010) (154)
Inequalities for second-order elliptic equations with applications to unbounded domains I (1996) (152)
On viscosity solutions of fully nonlinear equations with measurable ingredients (1996) (151)
Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media (2005) (150)
Regularity of the free boundary of a gas flow in an n-dimensional porous medium. (1980) (150)
Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries (2008) (147)
Continuity of the temperature in the two-phase Stefan problem (1983) (138)
A free-boundary problem for the heat equation arising in flame propagation (1995) (136)
Optimal Regularity of Lower-Dimensional Obstacle Problems (2006) (130)
An L∞ bound for solutions of the Cahn-Hilliard equation (1995) (127)
Some new monotonicity theorems with applications to free boundary problems (2002) (124)
Regularity of a free boundary with application to the Pompeiu problem (2000) (121)
A gradient bound for entire solutions of quasi‐linear equations and its consequences (1994) (120)
Optimal Transportation and Applications (2003) (118)
Regularity properties of nonlocal minimal surfaces via limiting arguments (2011) (117)
The Structure of the Free Boundary for Lower Dimensional Obstacle Problems (2006) (117)
Non-local gradient dependent operators (2012) (116)
Further regularity for the signorini problem (1979) (109)
A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs (2008) (108)
Regularity of solutions to the parabolic fractional obstacle problem (2011) (106)
The two-obstacle problem for the biharmonic operator. (1982) (105)
Regularity of solutions of the fractional porous medium flow (2012) (104)
Compactness methods in free boundary problems (1980) (103)
Uniform convergence of a singular perturbation problem (2010) (103)
Rates of convergence for the homogenization of fully nonlinear uniformly elliptic pde in random media (2010) (102)
Nonlocal Tug‐of‐War and the Infinity Fractional Laplacian (2010) (100)
Elliptic second order equations (1988) (100)
Convergence of Nonlocal Threshold Dynamics Approximations to Front Propagation (2008) (99)
Continuity of the density of a gas flow in a porous medium (1979) (95)
Regularity of a free boundary in parabolic potential theory (2004) (95)
Minimal surfaces with isolated singularities (1984) (95)
How an Initially Stationary Interface Begins to Move in Porous Medium Flow (1983) (95)
Lipschitz Continuity o f Solutions and Interfaces of the N-Dimensional Porous Medium Equation (1985) (95)
The blow-up boundary for nonlinear wave equations (1986) (94)
Asymptotic behaviour of a porous medium equation with fractional diffusion (2010) (92)
Regularity of the Free Boundary for the One-Dimensional Flow of Gas in a Porous Medium (1979) (92)
Caloric functions in Lipschitz domains and the regularity of solutions to phase transition problems (1996) (88)
Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations (1985) (87)
Regularity of the free boundary in parabolic phase-transition problems (1996) (84)
Gradient estimates for variable coefficient parabolic equations and singular perturbation problems (1998) (81)
An optimization problem with volume constraint (1986) (79)
REAL ANALYSIS RELATED TO THE MONGE-AMPERE EQUATION (1996) (76)
Obstacle problems for integro-differential operators: regularity of solutions and free boundaries (2016) (74)
Some remarks on singular solutions of nonlinear elliptic equations. I (2009) (73)
The Dirichlet Problem for the Degenerate Monge-Ampère Equation. (1986) (72)
Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators (2011) (71)
Asymptotic estimates for the plasma problem (1980) (70)
Smoothness and analyticity of free boundaries in variational inequalities (1976) (69)
Weak solutions of one inverse problem in geometric optics (2008) (69)
Uniform estimates and limits for a two phase parabolic singular perturbation problem (1997) (68)
Local Analysis of Solutions of Fractional Semi-Linear Elliptic Equations with Isolated Singularities (2013) (68)
Continuity of the temperature in boundary heat control problems (2010) (64)
The Shape of Axisymmetric Rotating Fluid (1980) (62)
The geometry of solutions to a segregation problem for nondivergence systems (2009) (61)
Axially symmetric jet flows (1983) (60)
On the Numerical Solution of the Problem of Reflector Design with Given Far-Field Scattering Data (1999) (59)
Differentiability of the blow-up curve for one dimensional nonlinear wave equations (1985) (59)
C1,α regularity of the free boundary for the N-dimensional porous media equation (1990) (58)
Pointwise and viscosity solutions for the limit of a two phase parabolic singular perturbation problem (1997) (58)
A Liouville theorem for solutions of the Monge–Ampère equation with periodic data (2004) (55)
PHASE TRANSITION PROBLEMS OF PARABOLIC TYPE : FLAT FREE BOUNDARIES ARE SMOOTH (1998) (54)
On the Regularity of Reflector Antennas (2008) (54)
Monge Ampère equation : applications to geometry and optimization : NSF-CBMS Conference on the Monge Ampère Equation : Applications to Geometry and Optimization, July 9-13, 1997, Florida Atlantic University (1999) (53)
Interior C2,α regularity theory for a class of nonconvex fully nonlinear elliptic equations (2003) (52)
Compressible flows of jets and cavities (1984) (50)
Interfaces with a corner point in one-dimensional porous medium flow (1985) (48)
An area‐Dirichlet integral minimization problem (2001) (48)
Jets with two fluids. I: One free boundary (1984) (47)
An elementary regularity theory of minimal surfaces (1993) (46)
Estimates in the generalized Campanato-John-Nirenberg spaces for fully nonlinear elliptic equations (2003) (46)
Calculus of Variations and Nonlinear Partial Differential Equations (2007) (46)
An optimization problem in heat conduction (1987) (46)
Homogenization and flame propagation in periodic excitable media: The asymptotic speed of propagation (2006) (46)
Porous medium flow with both a fractional potential pressure and fractional time derivative (2015) (46)
Asymmetric jet flows (1982) (45)
Viscosity solutions for the porous medium equation (1996) (44)
Jet flows with gravity. (1982) (44)
Interfaces of Ground States in Ising Models with Periodic Coefficients (2005) (44)
Nonlocal heat flows preserving the L2 energy (2008) (44)
Reinforcement problems for elliptic equations and variational inequalities (1980) (43)
NON-LOCAL MINIMAL SURFACES (2008) (43)
A theorem of real analysis and its application to free boundary problems (1985) (40)
The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics (2010) (39)
Uniform Hölder Estimates in a Class of Elliptic Systems and Applications to Singular Limits in Models for Diffusion Flames (2007) (39)
A note on the degeneracy of convex solutions to monge amperé equation (1993) (39)
A free boundary problem for quasi-linear elliptic equations (1984) (39)
A logistic equation with nonlocal interactions (2016) (38)
Convergence of the discrete free boundaries for finite element approximations (1983) (38)
Regularity of solutions of the fractional porous medium flow with exponent 1/2 (2014) (38)
Singular Limit and Homogenization for Flame Propagation in Periodic Excitable Media (2004) (38)
Jets with two fluids. II: Two free boundaries (1984) (37)
The Lipschitz character of the stress tensor, when twisting an elastic plastic bar (1979) (36)
Random homogenization of an obstacle problem (2007) (36)
On a Boltzmann-type price formation model (2013) (36)
Solutions of fully nonlinear elliptic equations with patches of zero gradient: Existence, regularity and convexity of level curves (2002) (35)
Capillary Drops: Contact angle hysteresis and sticking drops (2007) (35)
Asymptotic behavior of solutions of ut=Δum as m→∞ (1987) (35)
A minimization problem with free boundary related to a cooperative system (2016) (33)
On the regularity of the non-dynamic parabolic fractional obstacle problem (2016) (32)
On Some Pointwise Inequalities Involving Nonlocal Operators (2016) (31)
A free boundary problem related to thermal insulation (2015) (31)
Uniform Lipschitz regularity of a singular perturbation problem (1995) (31)
The Monge-Ampère Equation and Optimal Transportation, an elementary review (2003) (30)
Interior C 2 , α regularity theory for a class of nonconvex fully nonlinear elliptic equations (2003) (30)
Partial differential equation models in the socio-economic sciences (2014) (29)
The obstacle problem (2013) (29)
On Maxwellian equilibria of insulated semiconductors (2000) (28)
On a price formation free boundary model by Lasry and Lions (2011) (28)
Reinforcement problems in elasto-plasticity (1980) (28)
Correction to: The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampere equation (1987) (28)
Distance Functions and Almost Global Solutions of Eikonal Equations (2010) (28)
Studies in partial differential equations (1982) (27)
Regularity theorems for weak solutions of some nonlinear systems (1982) (27)
Asymptotic behaviour of free boundaries at their singular points (1977) (27)
A Priori Estimates for Solutions of Fully Nonlinear Equations with Convex Level Set (2000) (27)
Optimal Regularity for One-Dimensional Porous Medium Flow (1986) (27)
The Dirichlet problem for stable-like operators and related probabilistic representations (2016) (25)
Allocation Maps with General Cost Functions (2017) (25)
The free boundary in the Thomas-Fermi atomic model (1979) (25)
Some nonlinear problems involving non-local diffusions (2009) (25)
Random homogenization of fractional obstacle problems (2007) (25)
Regularity of the solution of the quasi variational inequality for the impulse control problem, II (1978) (24)
Chapter Four. Hölder Regularity for Generalized Master Equations with Rough Kernels (2014) (24)
On a Fractional Monge–Ampère Operator (2014) (23)
A note on nonlinear homogenization (1999) (23)
The two membranes problem for different operators (2016) (23)
A Counterexample to C 2,1 Regularity for Parabolic Fully Nonlinear Equations (2007) (23)
Free-Boundary Regularity for a Problem Arising in Superconductivity (2004) (22)
Minimization of a fractional perimeter-Dirichlet integral functional (2013) (22)
On the Evans-Krylov theorem (2009) (22)
The regularity of elliptic and parabolic free boundaries (1976) (22)
The dam problem with two layers (1978) (22)
Interior C regularity theory for a class of nonconvex fully nonlinear elliptic equations (2007) (21)
Flat free boundaries are Lipschitz (2005) (20)
Traveling waves for a boundary reaction–diffusion equation (2011) (19)
Regularity for viscosity solutions of fully nonlinear equations $F(D^2u) = 0$ (1995) (19)
Obstacle-type problems for minimal surfaces (2016) (19)
ON THE REGULARITY OF SOLUTIONS TO MONGE-AMPÈRE EQUATIONS ON HESSIAN MANIFOLDS (2001) (19)
Regularity theory for nonlinear integral operators (2010) (19)
On the asymptotic behavior of a Boltzmann-type price formation model (2013) (18)
Regularity of Boundary of a Capillary Drop on an Inhomogeneous Plane and Related Variational Problems (1985) (18)
Analysis on the junctions of domain walls (2010) (18)
Singular integrals related to the Monge-Ampere equation (1997) (18)
Variational problems with critical Sobolev growth and positive Dirichlet data (1990) (18)
A priori estimates and the geometry of the Monge Ampere equation (1995) (17)
Monotonicity of the free boundary in the two-dimensional dam problem (1980) (17)
Homogenization of Oscillating Free Boundaries: The Elliptic Case (2007) (17)
Non linear elliptic theory and the Monge-Ampere equation (2002) (17)
Counter-Example in Three Dimension and Homogenization of Geometric Motions in Two Dimension (2014) (17)
On Abel summability of multiple Jacobi series (1974) (17)
Smooth Approximations of Solutions to Nonconvex Fully Nonlinear Elliptic Equations (2010) (16)
Surfaces minimizing nonlocal energies (2009) (16)
The smoothness of the free surface in a filtration problem (1976) (16)
On a price formation free boundary model by Lasry and Lions: The Neumann problem (2011) (15)
A Harnack inequality approach to the interior regularity of parabolic equations (1993) (15)
SOME CHARACTERIZATIONS OF SPACE-FORMS (2006) (15)
Some multi-valued solutions to Monge-Ampere equations (2005) (15)
Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization (2008) (15)
On a long range segregation model (2015) (15)
Viscosity method for homogenization of highly oscillating obstacles (2008) (14)
Weak type estimates for the Hardy-Littlewood maximal functions (1974) (13)
The De Giorgi Method for Nonlocal Fluid Dynamics (2012) (13)
Regularity for anisotropic fully nonlinear integro-differential equations (2013) (13)
A Perturbation Argument for a Monge–Ampère Type Equation Arising in Optimal Transportation (2014) (13)
The structure of the singular set of a free boundary in potential theory (2004) (12)
FLAME PROPAGATION IN ONE-DIMENSIONAL STATIONARY ERGODIC MEDIA (2007) (12)
Interior regularity for fractional systems (2016) (12)
Two-Phase Anisotropic Free Boundary Problems and Applications to the Bellman Equation in 2D (2016) (12)
Optimal Transportation and Applications: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001 (2003) (11)
Hyperbolic equations and frequency interactions (1998) (11)
The smoothness of the elastic-plastic free boundary of a twisted bar (1977) (10)
Stochastic Distributed Algorithms for Target Surveillance (2003) (10)
Regularity for $$C^{1,\alpha }$$ Interface Transmission Problems (2020) (9)
The free boundary in an inverse conductivity problem (2001) (9)
Ergodic Control of a Class of Jump Diffusions with Finite Lévy Measures and Rough Kernels (2018) (9)
The dam problem with two fluids (1984) (9)
Free boundary problems a survey (1989) (9)
Regularity results for discrete solutions of second order elliptic problems in the finite element method (1986) (9)
Abrupt and smooth separation of free boundaries in flow problems (1985) (9)
Viscosity solutions of elliptic equations (1995) (8)
A priori bounds for solutions of a nonlocal evolution PDE (2013) (8)
Parabolic obstacle problems. Quasi-convexity and regularity (2016) (8)
Reflector Problem in $${\mathbb R^n}$$ Endowed with Non-Euclidean Norm (2009) (8)
Nonlinear Partial Differential Equations (2011) (8)
Regularity of free boundaries a heuristic retro (2015) (7)
The one-phase Stefan problem and the porous medium diffusion equation: Continuity of the solution in n space dimensions. (1978) (7)
Reflector Problem in R n Endowed with Non-Euclidean Norm (7)
Erratum: Monotonocity of optimal transportation and the FKG and related inequalities (Communication in Mathematical Physics (2000) 214(547-563)) (2002) (6)
A bifurcation phenomenon in a singularly perturbed one-phase free boundary problem of phase transition (2015) (6)
Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack (2017) (6)
GLOBAL WEAK SOLUTIONS OF NON-ISOTHERMAL FRONT PROPAGATION PROBLEM (2007) (6)
ON THE HOELDER CONTINUITY OF MULTIPLE VALUED HARMONIC FUNCTIONS. (1976) (6)
A non local Monge-Ampere equation (2014) (6)
The free boundary for a fourth order variational inequality (1981) (6)
On multimeron solutions of the Yang-Mills equation (1983) (5)
Unloading in the elastic-plastic torsion problem☆ (1981) (5)
On the rectifiability of domains with finite perimeter (1976) (5)
The two membranes problem for fully nonlinear operators (2017) (5)
Stefan-like problems with curvature (2003) (5)
The homogenization of surfaces and boundaries (2013) (5)
Uniqueness of solutions (1995) (5)
Certain multiple valued harmonic function (1976) (5)
The regularity of monotone maps of finite compression (1997) (5)
On uniqueness of solutions to viscous HJB equations with a subquadratic nonlinearity in the gradient (2019) (5)
Fully nonlinear integro-differential equations with deforming kernels (2018) (5)
Correction: "An elementary regularity theory of minimal surfaces'' (1995) (5)
The two-phase Stefan problem with anomalous diffusion (2021) (4)
A Nonlinear Evolution Problem Associated with an Electropaint Process (1985) (4)
Minimal surfaces and free boundaries: Recent developments (2019) (4)
On a price formation free boundary model by Lasry & Lions (2011) (4)
Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models (2017) (4)
On a Class of Stochastic Differential Equations With Jumps and Its Properties (2014) (4)
Existence of weak solutions to a continuity equation with space time nonlocal Darcy law (2018) (4)
A nonlinear oblique derivative boundary value problem for the heat equation: Analogy with the porous medium equation (2002) (3)
On a family of fully nonlinear integro-differential operators: From fractional Laplacian to nonlocal Monge-Amp\`ere (2021) (3)
Hyperbolic Equations and Frequency Interactions, Volume 5 (1999) (3)
Journal of Dynamics and Differential Equation: Preface (2006) (2)
A Free Boundary Problem Describing Transition in a Superconductor (1981) (2)
Regularity of interfaces for a Pucci type segregation problem (2018) (2)
Issues in homogenization for problems with non divergence structure (2008) (2)
Lipschitz free boundaries are ^{1,} (2005) (2)
Parabolic free boundary problems (2005) (2)
Sequential testing of several simple hypotheses for a diffusion process and the corresponding free boundary problem. (1981) (2)
THE PROBLEM OF TWO STICKS (2010) (2)
Fully Nonlinear Equations with Applications to Grad Equations in Plasma Physics (2020) (2)
Some liouville theorems for pde problems in periodic media (2003) (2)
The regularity of the free boundary (2005) (2)
A non-local porous media equation (2018) (2)
A Model of Dislocations and the Associated Free Boundary Problem (1988) (1)
ALESSIO FIGALLI: HIS CONTRIBUTIONS TO GEOMETRY AND ANALYSIS (2019) (1)
The Work of Jean Bourgain (1995) (1)
The shape of a free boundary driven by a line of fast diffusion (2020) (1)
Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models (2020) (1)
Counter-example in 3D and homogenization of geometric motions in 2D (long version) (2012) (1)
On a classical solvability of a Florin problem (2008) (1)
A curvature flow in the plane with a nonlocal term (2017) (1)
Surfaces of minimum mean curvature variation (2022) (1)
Relations between geometric convexity, doubling measures and property Γ (2014) (1)
A homogenization method for non variational problems (2004) (1)
Global C 1 ,α Regularity for Monge–Ampère Equation and Convex Envelope (2022) (1)
The Differentiability of the Free Boundary for the n-Dimensional Porous Media Equation (1987) (1)
Type constants for differentiation (1971) (0)
Preprint Version: May 30, 2009 THE PROBLEM OF TWO STICKS (2009) (0)
A curvature flow in the plane with a nonlocal term (2018) (0)
The PDE workshop on Analysis of Nonlinear PDEs and Free Boundary Problems : Applications to Homogenization (2009) (0)
Viscosity solutions and their asymptotic developments (2005) (0)
Two-Phase Anisotropic Free Boundary Problems and Applications to the Bellman Equation in 2D (2017) (0)
Louis Nirenberg (1925–2020) (2021) (0)
Lectures on Gas Flow in Porous Media (2010) (0)
The leading edge of a free boundary interacting with a line of fast diusion (2019) (0)
FRG: Collaborative research: Applications of transportation theory to nonlinear dynamics (2009) (0)
THE BLOW-UP BOUNDARY FOR NONLINEAR (2010) (0)
The Dirichlet problem for concave equations (1995) (0)
A theorem on degenerrate elliptic Beliman equation in bounded domains (1995) (0)
Hele-Shaw flows and obstacle problems : Application to random homogenization (2007) (0)
An introductory problem (2005) (0)
A free boundary problem associated with a semilinear parabolic equation (1980) (0)
Boundary behavior of caloric functions (2005) (0)
Calixto Calderón As I Knew Him (2014) (0)
NON LOCAL VERSIONS OF THE MONGE AMPERE EQUATION AND OF SYMMETRIC FUNCTIONS OF THE HESSIAN (2013) (0)
A Perturbation Argument for a Monge–Ampère Type Equation Arising in Optimal Transportation (2014) (0)
Nonlocal School on Fractional Equations NSFE 2017 Abstracts (2017) (0)
The homogenization of surfaces and boundaries (2013) (0)
Monotonicity formulas and applications (2005) (0)
Regularity for non local, non linear equations (2010) (0)
SURFACES OF MINIMUM CURVATURE VARIATION (2023) (0)
Lipschitz free boundaries: Strong results (2005) (0)
Louis Nirenberg Receives National Medal of Science (1997) (0)
Alexandroff estimate and maximum principle (1995) (0)
Regularity for anisotropic fully nonlinear integro-differential equations (2014) (0)
Flat free boundaries are smooth (2005) (0)
Interaction of a free boundary with a diffusion on a plane: analogy with the obstacle problem (2022) (0)
A Parabolic Problem with a Fractional Time Derivative (2016) (0)
Boundary behavior of harmonic functions (2005) (0)
A Brief Overview on The Obstacle Problem (2012) (0)
Lipschitz free boundaries: Weak results (2005) (0)
On a class of SDE with jumps and its properties (2014) (0)
2 3 Fe b 20 09 Regularity results for nonlocal equations by approximation (2009) (0)
Entrevista a Luis Caffarelli, Steele Prize de la American Mathematical Society 2009 (2009) (0)

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