YanYan Li | Academic Influence

YanYan Li's AcademicInfluence.com Rankings

YanYan Li

Mathematics

#5678

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#7978

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Measure Theory

#2134

World Rank

#2577

Historical Rank

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Mathematics

YanYan Li's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics Peking University

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Why Is YanYan Li Influential?

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According to Wikipedia, YanYan Li is a Professor of mathematics at Rutgers University, specializing in elliptic partial differential equations. He received his Ph.D. at New York University in 1988, under the direction of Louis Nirenberg. He joined Rutgers University in 1990.

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YanYan Li'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

Uniqueness theorems through the method of moving spheres (1995) (383)
Remark on some conformally invariant integral equations: the method of moving spheres (2003) (356)
Prescribing Scalar Curvature on Sn and Related Problems, Part I (1995) (302)
Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients (2000) (289)
On a variational problem with lack of compactness: the topological effect of the critical points at infinity (1995) (255)
Prescribing scalar curvature on Sn and related problems (1998) (251)
On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions (2011) (242)
On some conformally invariant fully nonlinear equations (2003) (235)
On a singularly perturbed elliptic equation (1997) (221)
On a Min-Max Procedure for the Existence of a Positive Solution for Certain Scalar Field Equations in $\mathbb R^N$ (1990) (219)
Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations (2003) (216)
YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS (1999) (170)
Estimates for elliptic systems from composite material (2003) (166)
Harnack Type Inequality: the Method of Moving Planes (1999) (152)
An extension to a theorem of Jörgens, Calabi, and Pogorelov (2003) (129)
Gradient Estimates for the Perfect Conductivity Problem (2006) (127)
The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton‐Jacobi equations (2003) (125)
On multibump' bound states for certain semilinear elliptic equations (1992) (124)
Some existence results for fully nonlinear elliptic equations of monge‐ampère type (1990) (122)
A sup + inf Inequality for Some Nonlinear Elliptic Equations Involving Exponential Nonlinearities (1993) (121)
THE DIRICHLET PROBLEM FOR SINGULARLY PERTURBED ELLIPTIC EQUATIONS (1998) (111)
Degree theory for second order nonlinear elliptic operators and its applications (1989) (106)
Compactness of solutions to the Yamabe problem. II (2004) (104)
Existence of solutions for semilinear elliptic equations with indefinite linear part (1992) (100)
Gradient Estimates for the Perfect and Insulated Conductivity Problems with Multiple Inclusions (2009) (94)
Compactness of solutions to the Yamabe problem (2004) (88)
The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature (2000) (84)
On the best Sobolev inequality (1999) (82)
Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular momentum (2007) (79)
Existence of many positive solutions of semilinear elliptic equations on annulus (1990) (78)
On a Fractional Nirenberg Problem, Part II: Existence of Solutions (2013) (73)
Gradient Estimates for Solutions of the Lamé System with Partially Infinite Coefficients (2013) (73)
Local gradient estimates of solutions to some conformally invariant fully nonlinear equations (2006) (73)
Regularity of the distance function to the boundary (2005) (72)
Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators (2011) (71)
A Harnack type inequality for the Yamabe equation in low dimensions (2004) (70)
The Weyl problem with nonnegative Gauss curvature (1994) (69)
Hypersurfaces of prescribed curvature measure (2011) (68)
Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries (1997) (68)
On the Yamabe problem and the scalar curvature problems under boundary conditions (2002) (68)
Conformally invariant fully nonlinear elliptic equations and isolated singularities (2005) (66)
Asymptotic behavior of solutions to the σk-Yamabe equation near isolated singularities (2009) (65)
Topology and Sobolev Spaces (2000) (64)
The Nirenberg problem and its generalizations: a unified approach (2014) (64)
Prescribing Scalar Curvature on S3, S4 and Related Problems (1993) (63)
Continuity of solutions of uniformly elliptic equations in R2 (1992) (62)
On uniformly rotating stars (1991) (61)
Gradient estimates for solutions of the Lam\'e system with partially infinite coefficients in dimensions greater than two (2016) (61)
Symmetry and asymmetry: the method of moving spheres (2007) (61)
Derivative estimates of solutions of elliptic systems in narrow regions (2013) (56)
A Liouville theorem for solutions of the Monge–Ampère equation with periodic data (2004) (55)
A Nonlinear Elliptic PDE with Two Sobolev–Hardy Critical Exponents (2011) (50)
The Nirenberg problem in a domain with boundary (1995) (46)
C1,1 estimates for solutions of a problem of Alexandrov (1997) (45)
A geometric characterization of a sharp Hardy inequality (2011) (45)
On –δu = K(x)u5 in ℝ3 (1993) (44)
Interior gradient estimates for solutions of certain fully nonlinear elliptic equations (1991) (43)
On diameters of uniformly rotating stars (1994) (43)
Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary (2006) (41)
Degree and Sobolev spaces (1999) (39)
Routes to bursting in a periodically driven oscillator (2013) (38)
Starshaped compact hypersurfaces with prescribed $k$-th mean curvature in hyperbolic space (2005) (36)
A new result for global existence and boundedness of solutions to a parabolic–parabolic Keller–Segel system with logistic source (2017) (36)
Multi-bump solutions of -Δn = K(x)u (n+2)/(n-2) on lattices in ℝ n (2018) (34)
A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound (2012) (33)
Results on Positive Solutions of Elliptic Equations with a Critical Hardy-Sobolev Operator (2008) (31)
Degenerate Conformally Invariant Fully Nonlinear Elliptic Equations (2005) (31)
Gradient estimates for parabolic systems from composite material (2011) (30)
Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations (2016) (30)
On the exterior Dirichlet problem for Hessian equations (2011) (29)
Asymptotics of the Gradient of Solutions to the Perfect Conductivity Problem (2018) (26)
Regularity of harmonic maps with prescribed singularities (1992) (26)
On the C1 regularity of solutions to divergence form elliptic systems with dini-continuous coefficients (2016) (25)
Scattering by a potential using hyperbolic methods (1989) (25)
A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary (2009) (24)
Compactness of conformal metrics with constant Q-curvature. I (2015) (23)
A fully nonlinear version of the Yamabe problem and a Harnack type inequality (2002) (23)
Nonexistence of Positive Solutions for Some Fully Nonlinear Elliptic Equations (2005) (23)
Sharp Sobolev Inequalities Involving Boundary Terms (1998) (20)
A fully nonlinear version of the Yamabe problem on manifolds with boundary (2006) (20)
Existence and Uniqueness to a Fully Nonlinear Version of the Loewner–Nirenberg Problem (2018) (20)
A note on the Kazdan-Warner type condition (1996) (20)
Integrable motions of curves in projective geometries (2010) (19)
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II. Classification of axisymmetric no-swirl solutions (2017) (19)
Existence and nonexistence to exterior Dirichlet problem for Monge–Ampère equation (2018) (19)
A general Liouville type theorem for some conformally invariant fully nonlinear equations (2002) (17)
The Calabi–Yau equation on 4-manifolds over 2-tori (2011) (17)
Homogeneous Solutions of Stationary Navier–Stokes Equations with Isolated Singularities on the Unit Sphere. I. One Singularity (2016) (16)
Gradient estimates of solutions to the insulated conductivity problem in dimension greater than two (2020) (16)
Existence of Multiple Solutions of Semilinear Elliptic Equations in R N (1990) (16)
Some multi-valued solutions to Monge-Ampere equations (2005) (15)
Further results on Liouville type theorems for some conformally invariant fully nonlinear equations (2003) (15)
A priori bounds for co-dimension one isometric embeddings (1998) (15)
A log-exponential smoothing method for mathematical programs with complementarity constraints (2012) (14)
Generalization of a well-known inequality (2005) (11)
Gradient blowup solutions of a semilinear parabolic equation with exponential source (2012) (11)
Existence and uniqueness of Green's function to a nonlinear Yamabe problem (2020) (11)
Solutions to the σk-Loewner-Nirenberg Problem on Annuli are Locally Lipschitz and Not Differentiable (2020) (11)
Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group (2018) (10)
Boundedness of Global Solutions for a Heat Equation with Exponential Gradient Source (2012) (9)
On the Hopf Lemma (2007) (9)
On fully nonlinear CR invariant equations on the Heisenberg group (2010) (8)
MongeAmpre Equations on Riemannian Manifolds (1996) (8)
A sharp Sobolev inequality on Riemannian manifolds (2002) (8)
Strong comparison principles for some nonlinear degenerate elliptic equations (2018) (8)
Scalar curvature under boundary conditions (2000) (8)
On conformally invariant equations on Rn (2014) (8)
On Nirenberg's problem and related topics (1994) (7)
A Harnack type inequality for some conformally invariant equations on half Euclidean space (2009) (7)
On the computation of the gap metric for LTV systems (2007) (7)
Gluing approximate solutions of minimum type on the Nehari manifold (2001) (7)
On the $σ_{k}$-Nirenberg problem (2020) (6)
Some nonlinear elliptic equations from geometry (2002) (6)
ON THE LOCAL SOLVABILITY OF THE NIRENBERG PROBLEM ON S (2010) (5)
Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems (2020) (5)
Partial results on extending the Hopf Lemma (2009) (5)
A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions (2015) (5)
The axisymmetric σk-Nirenberg problem (2021) (5)
Multi-bump solutions of � u D K . x / u n C 2 n � 2 on lattices in R n (2018) (5)
On conformally invariant equations on Rn-II. Exponential invariance (2012) (5)
Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations (2016) (5)
A gradient-based approach for discrete optimum design (2010) (4)
Counterexamples to C2 Boundary Estimates for a Fully Nonlinear Yamabe Problem on Manifolds with Boundary (2012) (4)
Nonautonomous nonlinear scalar field equations in R2 (1993) (4)
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations (2020) (4)
Existence of infinitely many critical values of some nonsymmetric functionals (1992) (4)
Regular Solutions of the Stationary Navier–Stokes Equations on High Dimensional Euclidean Space (2021) (3)
Monge-Ampère Equation with Bounded Periodic Data (2019) (3)
Symplectic invariants for curves and integrable systems in similarity symplectic geometry (2015) (3)
Homogeneous Solutions of Stationary Navier–Stokes Equations with Isolated Singularities on the Unit Sphere. I. One Singularity (2017) (3)
Some Liouville theorems and applications (2006) (3)
On Robust Stabilization in the Gap Metric for LTV Systems (2006) (3)
Multi-bump solutions of $-\Delta u=K(x)u^{\frac{n+2}{n-2}}$ on lattices in $R^n$ (2013) (3)
Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry (2019) (3)
The number of solutions of generalized Markoff-Hurwitz-type equations over finite fields (2017) (3)
Gradient estimates for the insulated conductivity problem: the non-umbilical case (2022) (2)
A Liouville Theorem for Möbius Invariant Equations (2021) (2)
On the local solvability of the Nirenberg problem on $\mathbb S^2$ (2010) (2)
Fine Analysis of Blow up and Applications (2015) (2)
Quenching Rate for the Porous Medium Equation with a Singular Boundary Condition (2011) (2)
A Smoothing Method for Zero–One Constrained Extremum Problems (2011) (2)
Anisotropic Caffarelli-Kohn-Nirenberg type inequalities (2021) (1)
A response to an article of Xu-Jia Wang (2013) (1)
The work of Louis Nirenberg (2011) (1)
Image Segmentation by Co-existing Strange Attractor Networks (2011) (1)
On the $\sigma_{k}$-Nirenberg problem (2020) (1)
Periodic Solutions of a Class of Fourth-Order Superlinear Differential Equations (2012) (1)
Convergence of a continuous approach for zero-one programming problems (2011) (1)
Global existence to a $3D$ chemotaxis-Navier-stokes system with nonlinear diffusion and rotation (2017) (1)
2 9 A pr 2 00 5 Degenerate conformally invariant fully nonlinear elliptic equations (2005) (0)
Laguerre characterization and rigidity of hypersurfaces in R n (2015) (0)
Partial Differential Equations Compactness of solutions to the Yamabe problem (2004) (0)
A P ] 8 J un 2 02 1 The axisymmetric σ k-Nirenberg problem (2021) (0)
Synchronization of Chaotic Systems with Double Strange Attractors via Passivity Approach (2012) (0)
LAGUERRE CHARACTERIZATIONS OF HYPERSURFACES IN ℝ n (2013) (0)
A P ] 2 4 A pr 2 01 8 Existence and uniqueness to a fully non-linear version of the Loewner-Nirenberg problem (2021) (0)
Counterexamples to C 2 Boundary Estimates for a Fully Nonlinear Yamabe Problem on Manifolds with Boundary Dedicated to Antonio Ambrosetti (2012) (0)
Existence and Multiplicity of Solutions for a Class of Nonlinear Schrod- inger-KdV Equations (2015) (0)
On the $\sigma_2$-Nirenberg problem on $\mathbb{S}^2$ (2021) (0)
Deformation of Surfaces Induced by Motions of Curves in Higherdimensional Similarity Geometries (2007) (0)
Multi-bump solutions of ... on lattices in Rⁿ (2014) (0)
The Error Bounds for Linear Complementarity Problem of S-Nekrasov Matrix (2021) (0)
Regularity of viscosity solutions of the $\sigma_k$-Loewner-Nirenberg problem (2022) (0)
A P ] 1 9 A ug 2 02 0 On the σ k-Nirenberg problem (2020) (0)
A Liouville theorem for M\"{o}bius invariant equations (2020) (0)
Louis Nirenberg (1925–2020) (2021) (0)
Some recent work on elliptic systems from composite material (1998) (0)
ASYMPTOTIC PROFILE OF QUENCHING IN A SYSTEM OF HEAT EQUATIONS COUPLED AT THE BOUNDARY (2012) (0)
A P ] 3 0 M ay 2 01 9 Vanishing viscosity limit for homogeneous axisymmetric no-swirl solutions of stationary Navier-Stokes equations (2019) (0)
Existence and Multiplicity of Solutions for a Class of Nonlinear Schrodinger-KdV Equations (2015) (0)
Some nonlinear elliptic equ (2016) (0)
A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions (2017) (0)
Existence and nonexistence to exterior Dirichlet problem For Monge-Amp\`ere equation (2018) (0)
Degenerate elliptic systems and applications to Ginzburg-Landau type equations, Part I (1996) (0)
Invariants for Curves in Equiform Galilean Space (2022) (0)
On Optimal Robustness in the Gap Metric for LTV Systems (2007) (0)
A P ] 1 2 D ec 2 00 6 Compactness of solutions to the Yamabe problem . III (2021) (0)
Gradient estimates for solutions of the Lam\'{e} system with infinity coefficients (2013) (0)
Work of Louis Nirenberg YanYan Li (2010) (0)
THE EXISTENCE AND THE UNIQUENESS OF A SEMILINEAR PARABOLIC EQUATION (1985) (0)
Solutions with Dead Cores for a Parabolic P-Laplacian Equation (2011) (0)
Symmetry of hypersurfaces and the Hopf Lemma (2022) (0)
REMARKS ON MEAN VALUE PROPERTIES (2010) (0)

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