Inequalities for second-order elliptic equations with applications to unbounded domains I

Symmetry and related properties via the maximum principle

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

Natural Sciences, Mathematics, Physics +14

On the method of moving planes and the sliding method

Henri Berestycki, Louis Nirenberg · Bulletin of the Brazilian Mathematical Society New Series · 1991 · 697 citations

Natural Sciences, Mathematics, Dynamical Systems +2

The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains

Henri Berestycki, Louis Nirenberg, S. R. S. Varadhan · Communications on Pure and Applied Mathematics · 1994 · 688 citations

Natural Sciences, Secondary Education, Finite Element Analysis +10

Monotonicity for elliptic equations in unbounded Lipschitz domains

H. Berestycki, Luis Caffarelli, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1997 · 255 citations

Natural Sciences, Mechanical Engineering, Fluid Dynamics +10

Inequalities for second-order elliptic equations with applications to unbounded domains I

H. Berestycki, Luis Caffarelli, Louis Nirenberg · Duke Mathematical Journal · 1996 · 148 citations

Natural Sciences, Computational Engineering, Finite Element Methods +10