Nassif Ghoussoub | Academic Influence

Nassif Ghoussoub's AcademicInfluence.com Rankings

Nassif Ghoussoub

Mathematics

#2169

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#3388

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Differential Topology

#9

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#9

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Mathematical Physics

#58

World Rank

#69

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Differential Geometry

#81

World Rank

#96

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Mathematics

Why Is Nassif Ghoussoub Influential?

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According to Wikipedia, Nassif A. Ghoussoub is a Canadian mathematician working in the fields of non-linear analysis and partial differential equations. He is a Professor of Mathematics and a Distinguished University Scholar at the University of British Columbia.

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Nassif Ghoussoub'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

Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents (2000) (491)
Duality and Perturbation Methods in Critical Point Theory (1993) (403)
On a conjecture of De Giorgi and some related problems (1998) (341)
Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS (2010) (192)
A general mountain pass principle for locating and classifying critical points (1989) (189)
On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case (2005) (177)
Selected new aspects of the calculus of variations in the large (2002) (157)
Bessel pairs and optimal Hardy and Hardy–Rellich inequalities (2011) (147)
Hardy–Sobolev critical elliptic equations with boundary singularities (2004) (136)
Some topological and geometrical structures in Banach spaces (1987) (120)
The effect of curvature on the best constant in the Hardy–Sobolev inequalities (2005) (118)
Functional Inequalities: New Perspectives and New Applications (2012) (116)
On De Giorgi's conjecture in dimensions 4 and 5 (2003) (114)
Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity (2005) (109)
Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent (1998) (101)
Self-dual Partial Differential Systems and Their Variational Principles (2008) (94)
On the partial differential equations of electrostatic MEMS devices II: Dynamic case (2008) (85)
On the H\'enon-Lane-Emden conjecture (2011) (85)
On the best possible remaining term in the Hardy inequality (2007) (83)
The multiplicity of solutions in non-homogeneous boundary value problems (2000) (79)
Location, multiplicity and Morse indices of min-max critical points. (1991) (77)
Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth (2005) (73)
On a Fourth Order Elliptic Problem with a Singular Nonlinearity (2009) (63)
Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities (2015) (61)
Structure of optimal martingale transport plans in general dimensions (2015) (58)
Gδ-embeddings in Hilbert space☆ (1985) (57)
A variational principle for gradient flows (2004) (56)
The Conley index and the critical groups via an extension of Gromoll-Meyer theory (1996) (53)
The Critical Dimension for a Fourth Order Elliptic Problem with Singular Nonlinearity (2008) (53)
De Giorgi type results for elliptic systems (2012) (53)
Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains (2010) (44)
A lattice renorming theorem and applications to vector-valued processes (1981) (39)
GEOMETRICAL IMPLICATIONS OF CERTAIN INFINITE DIMENSIONAL DECOMPOSITIONS (1990) (37)
Symmetric Monge–Kantorovich problems and polar decompositions of vector fields (2013) (36)
Uniqueness of Solutions for an Elliptic Equation Modeling MEMS (2008) (35)
Morse-type information on palais-smale sequences obtained by min-max principles (1994) (35)
Regularity of semi-stable solutions to fourth order nonlinear eigenvalue problems on general domains (2012) (34)
Sobolev inequalities for the Hardy–Schrödinger operator: extremals and critical dimensions (2015) (34)
ON A SINGULARLY PERTURBED NEUMANN PROBLEM WITH THE CRITICAL EXPONENT (2001) (33)
Martingales,Gδ-embeddings and quotients ofL1 (1983) (33)
A variational theory for monotone vector fields (2008) (33)
Selfdual Variational Principles for Periodic Solutions of Hamiltonian and Other Dynamical Systems (2005) (30)
Estimates for the Quenching Time of a Parabolic Equation Modeling Electrostatic MEMS (2007) (30)
Plurisubharmonic martingales and barriers in complex quasi-Banach spaces (1989) (29)
Anti-self-dual lagrangians : variational resolutions of non-self-adjoint equations and dissipative evolutions (2005) (29)
On the weak Radon-Nikodým property (1981) (28)
On the Best Constant in the Moser-Onofri-Aubin Inequality (2009) (27)
A Self‐Dual Polar Factorization for Vector Fields (2011) (26)
Elliptic Equations with Critical Growth and a Large Set of Boundary Singularities (2005) (26)
The Hardy–Schrödinger operator with interior singularity: the remaining cases (2016) (24)
Remarks on multi-marginal symmetric Monge-Kantorovich problems (2012) (23)
Multiple Solutions for a Classical Problem in the Calculus of Variations (1996) (22)
Mass and asymptotics associated to fractional Hardy–Schrödinger operators in critical regimes (2017) (22)
A counterexample to a problem on points of continuity in Banach spaces (1987) (22)
Estimates on Pull-In Distances in Microelectromechanical Systems Models and Other Nonlinear Eigenvalue Problems (2010) (21)
Chapter 10 Perturbed minimization principles and applications (2001) (21)
Antisymmetric Hamiltonians: Variational resolutions for Navier‐Stokes and other nonlinear evolutions (2007) (21)
An integral representation of randomized probabilities and its applications (1982) (20)
Second order information on Palais-Smale sequences in the mountain pass theorem (1992) (19)
A min-max principle with a relaxed boundary condition (1993) (19)
Hardy-singular boundary mass and Sobolev-critical variational problems (2017) (18)
Anti-selfdual Lagrangians II: unbounded non self-adjoint operators and evolution equations (2005) (18)
Weak compactness in spaces of Bochner integrable functions and the Radon-Nikodým property. (1984) (18)
COUNTEREXAMPLES TO SEVERAL PROBLEMS ON THE FACTORIZATION OF BOUNDED LINEAR OPERATORS (1984) (18)
On the Hardy-Schrodinger operator with a boundary singularity (2014) (16)
A refinement of the Riesz decomposition for amarts and semiamarts (1978) (16)
Anti-symmetric Hamiltonians (II) : Variational resolutions for Navier-Stokes and other nonlinear evolutions (2007) (15)
Optimal Transport with Controlled Dynamics and Free End Times (2018) (15)
H-embeddings in Hilbert space and optimization on G GD -sets (1986) (15)
Deformation from symmetry and multiplicity of solutions in non-homogeneous problems (2001) (15)
Variational representations for N-cyclically monotone vector fields (2012) (15)
Bessel potentials and optimal Hardy and Hardy-Rellich inequalities (2007) (15)
Gδ-Embeddings in Hilbert space, II (1988) (15)
Regularity of the extremal solution in a MEMS model with advection (2008) (14)
A Theory of Transfers: Duality and convolution (2018) (14)
A solution to the Monge transport problem for Brownian martingales (2019) (14)
Maximal monotone operators are selfdual vector fields and vice-versa (2006) (14)
Order dentability and the Radon-Nikodym property in Banach lattices (1979) (12)
Vector Valued Subadditive Processes and Applications in Probability (1980) (12)
Embeddings in brownian motion (1979) (11)
A theory of anti-selfdual Lagrangians: dynamical case (2005) (11)
A least action principle for steepest descent in a non-convex landscape (2004) (11)
A theory of anti-selfdual Lagrangians: stationary case (2005) (11)
Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows (2005) (10)
PDE methods for optimal Skorokhod embeddings (2018) (10)
Slicings, Selections and Their Applications (1992) (9)
Decoupling of DeGiorgi-Type Systems via Multi-Marginal Optimal Transport (2013) (9)
On the radon-nikodym property in function spaces (1985) (8)
The asymptotic-norming and the Radon-Nikodým properties are equivalent in separable Banach spaces (1985) (8)
Hamiltonian systems of PDEs with selfdual boundary conditions (2007) (8)
Z 2-equivariant Ljusternik-Schnirelman theory for non-even functionals (1998) (7)
Weak convergence of vector valued martingales (1990) (7)
On the existence of Hamiltonian paths connecting Lagrangian submanifolds (2005) (7)
Banach lattices valued amarts (1977) (7)
Orderamarts: A class of asymptotic martingales (1979) (7)
Compactness along the first branch of unstable solutions for an elliptic problem with a singular nonlinearity (2005) (6)
The optimal evolution of the free energy of interacting gases and its applications (2003) (6)
Optimal Brownian Stopping between radially symmetric marginals in general dimensions (2017) (6)
Sign-changing solutions for critical equations with Hardy potential (2017) (6)
Multiplicity and stability of the Pohozaev obstruction for Hardy-Schrödinger equations with boundary singularity (2019) (6)
Homogenization of Maximal Monotone Vector Fields via Selfdual Variational Calculus (2010) (6)
Pointwise Lower Bounds for Solutions of Semilinear Elliptic Equations and Applications (2014) (5)
Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space (2017) (5)
Optimal Ballistic Transport and Hopf-Lax Formulae on Wasserstein Space (2017) (5)
Superposition of selfdual functionals in non-homogeneous boundary value problems and differential systems (2008) (5)
Riesz spaces valued measures and processes (1982) (5)
A self-dual variational approach to stochastic partial differential equations (2017) (5)
Duality and perturbation methods in critical point theory: A Strong Form of the Min-Max Principle (1993) (5)
Renorming dual Banach lattices (1982) (4)
The branch of stable solutions (2010) (4)
Improved Hardy-Rellich inequalities on ²₀(Ω) (2013) (4)
A variational principle for nonlinear transport equations (2005) (4)
Counterexamples to several problems concerning _{}-embeddings (1984) (4)
Positive embeddings ofC(Δ),L1, ℓ1(Φ), and $$\left( {\sum\limits_n { \oplus \ell _\infty ^n } } \right)_{\ell _1 } $$ (1983) (4)
Geometric inequalities via a duality between certain quasilinear PDE's and Fokker-Plank equations (2002) (4)
Summability and vector amarts (1979) (4)
A non-linear method for constructing certain basic sequences in Banach spaces (1990) (4)
A generalized Chacon's inequality and order convergence of processes (1977) (4)
Dynamic and stochastic propagation of the Brenier optimal mass transport (2019) (3)
Mather Measures and Ergodic Properties of Kantorovich Operators associated to General Mass Transfers (2019) (3)
A Noncompletely Continuous Operator on L 1 (G) whose Random Fourier Transform is in c 0 (G) (1984) (3)
Optimal Brownian Stopping When the Source and Target Are Radially Symmetric Distributions (2019) (3)
A dual Moser-Onofri inequality and its extensions to higher dimensional spheres (2015) (3)
Hidden Convexity in a Problem of Nonlinear Elasticity (2020) (2)
A noncompletely continuous operator on ₁() whose random Fourier transform is in ₀() (1984) (2)
Pluriharmonically dentable complex Banach spaces. (1989) (2)
Optimal mass transport and symmetric representations of their cost functions (2014) (2)
Martingales of increasing functions (1982) (2)
Anti-selfdual Hamiltonians: Variational resolutions for Navier-Stokes and other nonlinear evolutions (2005) (2)
Optimal stopping of stochastic transport minimizing submartingale costs (2020) (2)
A note on simultaneous preconditioning and symmetrization of non‐symmetric linear systems (2008) (2)
Stochastic optimal transport with free end time (2019) (2)
A note on the multiplicity of surfaces with prescribed constant mean curvature (1997) (2)
Hamiltonian systems as selfdual equations (2008) (2)
Estimates on Pull-in Distances in MEMS Models and other Nonlinear Eigenvalue Problems (2009) (2)
Dynamic and Stochastic Propagation of Brenier's Optimal Mass Transport (2018) (2)
Duality and perturbation methods in critical point theory: Preface (1993) (1)
On spaces with local unconditional structure (1980) (1)
A Theory of Anti-Selfdual Lagrangians: Nonlinear case (2005) (1)
Metric Selfduality and Monotone Vector Fields on Manifolds (2015) (1)
PDE methods for optimal Skorokhod embeddings (2019) (1)
Simultaneous preconditioning and symmetrization of non-symmetric linear systems (2008) (1)
Optimal Controlled Transports with Free End Times Subject to Import/Export Tariffs (2019) (1)
The Hardy--Schrödinger operator on the Poincar\é Ball: compactness and multiplicity (2018) (1)
The mother of most Gaussian and Euclidean inequalities (2002) (1)
Navier-Stokes and other Self-dual Nonlinear Evolutions (2009) (1)
De Giorgi type results for elliptic systems (2012) (1)
Linear transfers as minimal costs of dilations of measures in balayage order (2022) (1)
The Hardy-Sobolev inequalities (2013) (1)
On Optimal Stochastic Ballistic Transports (2017) (1)
Operators which factor through Banach lattices not containing c0 (1990) (1)
The Hardy–Schrödinger operator with interior singularity: the remaining cases (2017) (1)
Superposition of Interacting Self-dual Functionals (2009) (0)
The Banff International Research Station for Mathematical Innovation and Discovery (2019) (0)
Estimates for the pull-in distance (2010) (0)
The first branch of unstable solutions (2010) (0)
Direct Sum of Completely Self-dual Functionals (2009) (0)
Domain curvature and best constants in the Hardy-Sobolev inequalities (2013) (0)
Geometry of Banach Spaces: Remarks about the interpolation of Radon-Nikodym operators (1991) (0)
Dynamic deflection of electrostatic MEMS (2005) (0)
Duality and perturbation methods in critical point theory: Introduction (1993) (0)
Morse Indices of Min-Max Critical Points – The Non Degenerate Case (1993) (0)
General Hardy inequalities (2013) (0)
Variational Principles for Self-dual Functionals and First Applications (2009) (0)
Duality and perturbation methods in critical point theory: The blowing-up of singularities (1993) (0)
Improved Hardy inequality with boundary singularity (2013) (0)
Semilinear Evolution Equations with Self-dual Boundary Conditions (2009) (0)
Trudinger-Moser-Onofri inequality on ² (2013) (0)
Semigroups of Contractions Associated to Self-dual Lagrangians (2009) (0)
CRM-Fields-PIMS prize : Nicole Tomczak-Jaegermann (2006) (0)
Optimal mass transport and symmetric representations of their cost functions (2014) (0)
Legendre-Fenchel Duality on Phase Space (2009) (0)
Weighted Hardy inequalities (2013) (0)
Iteration of Self-dual Lagrangians and Multiparameter Evolutions (2009) (0)
Improved Hardy inequalities for general elliptic operators (2013) (0)
Optimal evolution of the free energy of interacting gazes and applications-Proofs (2004) (0)
Optimal Controlled Transports with Free End Times Subject to Import/Export Tariffs (2019) (0)
Ornstein-Metivier-Brunel theorem revisited (1979) (0)
Estimates on quenching times (2010) (0)
The Hardy inequality and second order nonlinear eigenvalue problems (2013) (0)
UPPER ESTIMATES FOR THE ENERGY OF SOLUTIONS OF NONHOMOGENEOUS BOUNDARY VALUE PROBLEMS (2005) (0)
The classical Hardy inequality and its improvements (2013) (0)
The Palais-Smale Condition Around a Dual Set – Examples (1993) (0)
The Class of Antisymmetric Hamiltonians (2009) (0)
The Role of the Co-Hamiltonian in Self-dual Variational Problems (2009) (0)
Duality and perturbation methods in critical point theory: Group Actions and Multiplicity of Critical Points (1993) (0)
Self-dual Vector Fields and Their Calculus (2009) (0)
A fourth-order model with a pinned boundary on convex domains (2010) (0)
Duality and perturbation methods in critical point theory: Linear and Plurisubharmonic Perturbed Minimization Principles (1993) (0)
The Hardy–Schrödinger operator on the Poincaré ball: Compactness, multiplicity, and stability of the Pohozaev obstruction (2022) (0)
Correction to: Optimal Controlled Transports with Free End Times Subject to Import/Export Tariffs (2021) (0)
Log-Sobolev inequalities on the real line (2013) (0)
PR ] 8 N ov 2 01 7 OPTIMAL BROWNIAN STOPPING BETWEEN RADIALLY SYMMETRIC MARGINALS IN GENERAL DIMENSIONS By (0)
Duality and perturbation methods in critical point theory: Lipschitz and Smooth Perturbed Minimization Principles (1993) (0)
Duality and perturbation methods in critical point theory: Basic properties of martingales (1993) (0)
2 A new Lagrangian associated to the transport equation (2012) (0)
Duality and perturbation methods in critical point theory: The Classical Min-Max Theorem (1993) (0)
Hardy–Rellich inequalities (2010) (0)
Duality and perturbation methods in critical point theory: Relaxed Boundary Conditions in the Presence of a Dual Set (1993) (0)
Joran Lindenstrauss, in Memoriam (2015) (0)
Duality and perturbation methods in critical point theory: Morse-type Information on Palais-Smale Sequences (1993) (0)
Weighted Hardy-Rellich inequalities on ²(Ω)∩¹₀(Ω) (2013) (0)
Direct Sum of Self-dual Functionals and Hamiltonian Systems (2009) (0)
Regularity of semi-stable solutions to fourth order nonlinear eigenvalue problems on general domains (2012) (0)
Hamiltonian Systems of Partial Differential Equations (2009) (0)
A P ] 7 F eb 2 01 8 A Self-dual Variational Approach to Stochastic Partial Differential Equations (2018) (0)
A P ] 1 5 A pr 2 00 9 The critical dimension for a 4 th order problem with singular nonlinearity (2009) (0)
A fourth-order model with a clamped boundary on a ball (2010) (0)
A general comparison principle for interacting gases (2013) (0)
Duality and perturbation methods in critical point theory: Variational formulations of some boundary value problems (1993) (0)
Different modes of dynamic deflection (2010) (0)
Skew-Adjoint Operators and Self-dual Lagrangians (2009) (0)
Optimal Euclidean Sobolev inequalities (2013) (0)
Regularity and stability of solutions in non-self-adjoint problems (2013) (0)
Variational Principles for Completely Self-dual Functionals (2009) (0)
Duality and perturbation methods in critical point theory: Morse Indices of Min-Max Critical Points – The Degenerate Case (1993) (0)
A pr 2 00 8 A variational theory for monotone vector fields (2008) (0)
Symmetric Monge–Kantorovich problems and polar decompositions of vector fields (2014) (0)
Estimates for the pull-in voltage (2010) (0)
Duality and perturbation methods in critical point theory: Elements of degree theory (1993) (0)
Duality and perturbation methods in critical point theory: The Critical Set in the Mountain Pass Theorem (1993) (0)
Critical dimensions for 4^{ℎ} order nonlinear eigenvalue problems (2013) (0)
Self-dual Lagrangians on Phase Space (2009) (0)
The Self-dual Palais-Smale Condition for Noncoercive Functionals (2009) (0)
Bessel pairs and Sturm’s oscillation theory (2013) (0)
On operators fixing copies of $c_o$ and $\ell _\infty $ (1981) (0)
Description of the global set of solutions (2010) (0)
Refined profile of solutions at quenching time (2010) (0)
Power-law profiles on symmetric domains (2010) (0)
Duality and perturbation methods in critical point theory: Relevant function spaces and inequalities (1993) (0)
Optimal Aubin-Moser-Onofri inequality on ² (2013) (0)

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What Schools Are Affiliated With Nassif Ghoussoub?

Nassif Ghoussoub is affiliated with the following schools:

University of British Columbia

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