Positive solutions of inhomogeneous elliptic equations with indefinite data

A priori bounds for positive solutions of nonlinear elliptic equations

Basilis Gidas, Joel Spruck · Communications in Partial Differential Equations · 1981 · 846 citations

Engineering, Aerospace Engineering, Computational Fluid Dynamics +13

On nonhomogeneous elliptic equations involving critical Sobolev exponent

Gabriella Tarantello · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1992 · 462 citations · Full text

Natural Sciences, Computational Engineering, Fluid Dynamics +10

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

Morse index of some min‐max critical points. I. Application to multiplicity results

Abbas Bahri, Pierre‐Louis Lions · Communications on Pure and Applied Mathematics · 1988 · 184 citations

Computing, Geophysics, Critical Theory +11

Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle

Lucio Damascelli, Massimo Grossi, Filomena Pacella · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1999 · 120 citations · Full text

Natural Sciences, Mathematics, Differential Equations +14