On the Palais–Smale condition

Dual variational methods in critical point theory and applications

Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis · 1973 · 4.4K citations

Natural Sciences, Mathematics, Physics +14

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.8K citations

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On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on <i>ℝ^N</i>

Louis Jeanjean · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1999 · 852 citations

Natural Sciences, Mathematics, Dynamical Systems +6

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

Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity

Paolo Bartolo, Vieri Benci, Donato Fortunato · Nonlinear Analysis · 1983 · 791 citations

Natural Sciences, Mathematics, Differential Equations +14