Existence of positive solutions for a class of nonhomogeneous elliptic equations in

Nonlinear scalar field equations, I existence of a ground state

Henri Berestycki, P. L. Lions · Archive for Rational Mechanics and Analysis · 1983 · 2.6K citations · Full text

Natural Sciences, Mathematics, Differential Equations +13

Symmetry of positive solutions of nonlinear elliptic equations in R^n

Basilis Gidas · Medical Entomology and Zoology · 1981 · 1K citations

Natural Sciences, Aerospace Engineering, Differential Equations +8

Positive solutions of some nonlinear elliptic problems in exterior domains

Vieri Benci, Giovanna Cerami · Archive for Rational Mechanics and Analysis · 1987 · 286 citations

Engineering, Mechanical Engineering, Finite Element Analysis +9

On a Min-Max Procedure for the Existence of a Positive Solution for Certain Scalar Field Equations in $\mathbb R^N$

Abbas Bahri, YanYan Li · Revista Matemática Iberoamericana · 1990 · 229 citations · Full text

Natural Sciences, Mathematics, Optimization +4

Multiple critical points of perturbed symmetric functionals

Paul H. Rabinowitz · Transactions of the American Mathematical Society · 1982 · 216 citations · Full text

Natural Sciences, Mathematics, Differential Equations +11