Critical-point theory with applications to asymptotically linear wave and beam equations

zbMath0984.58005MaRDI QIDQ5933796

Yanheng Ding, Thomas J. Bartsch

Publication date: 14 June 2001

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Palais-Smale conditioncritical-point theoryLjusternik-Schnirelman type results

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems in infinite-dimensional spaces (58E99)

Related Items (11)

Existence of infinitely many solutions of a beam equation with non-monotone nonlinearity ⋮ Application of local linking to asymptotically linear wave equations with resonance ⋮ Periodic solutions for an asymptotically linear wave equation with resonance ⋮ Index theory and multiple solutions for asymptotically linear wave equation ⋮ Multiplicity of nontrivial solutions for quasilinear elliptic equation ⋮ Multiple solutions for asymptotically linear elliptic systems ⋮ Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry ⋮ Computations of critical groups and applications to asymptotically linear wave equation and beam equation ⋮ Existence of multiple weak solutions for asymptotically linear wave equations ⋮ Periodic solutions of a wave equation with concave and convex nonlinearities ⋮ Multiplicity result for asymptotically linear noncooperative elliptic systems

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