Non-negative solutions to fractional Laplace equations with isolated singularity

Symmetry and related properties via the maximum principle

Basilis Gidas, Wei‐Ming Ni, Louis Nirenberg · Communications in Mathematical Physics · 1979 · 2.9K citations

Symmetry Principles, Symmetry (Physics), Extremal Set Theory +2

Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Luis Caffarelli, Basilis Gidas, Joel Spruck · Communications on Pure and Applied Mathematics · 1989 · 1.3K citations

Monge-ampere Equation, Elliptic Equation, Potential Theory +5

Regularity of the obstacle problem for a fractional power of the laplace operator

Luís Silvestre · Communications on Pure and Applied Mathematics · 2006 · 1.2K citations

Elliptic Equation, Function φ, Engineering +15

Classification of solutions for an integral equation

Wenxiong Chen, Congming Li, Biao Ou · Communications on Pure and Applied Mathematics · 2005 · 772 citations

Elliptic Equation, Resolvent Kernel, Geometric Partial Differential Equation +7

On the method of moving planes and the sliding method

Henri Berestycki, Louis Nirenberg · Bulletin of the Brazilian Mathematical Society New Series · 1991 · 678 citations

Numerical Analysis, Aeronautics, Sliding Method +6