A strong resonance problem

zbMath0719.58012MaRDI QIDQ2640202

Gongqing Zhang, Jia Quan Liu

Publication date: 1990

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

semilinear elliptic equationsHamiltonian systemscritical point theorystrong resonance problem

Mathematics Subject Classification ID

Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

A new Morse index theory for strongly indefinite functionals ⋮ Solutions of elliptic problems with nonlinearities of linear growth ⋮ Nontrivial periodic solutions for strong resonance Hamiltonian systems ⋮ Problems at resonance for equations with periodic nonlinearities. ⋮ A twist condition and periodic solutions of Hamiltonian systems ⋮ Bounded resonant problems driven by fractional Laplacian ⋮ Computations of critical groups at a degenerate critical point for strongly indefinite functionals ⋮ Computations of critical groups and applications to asymptotically linear wave equation and beam equation ⋮ A class of resonant elliptic problems with sublinear nonlinearity at origin and at infinity ⋮ Solvability of the resonant 1-dimensional periodic \(p\)-Laplacian equations ⋮ Solutions for resonant elliptic systems with nonodd or odd nonlinearities

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