Solutions for resonant elliptic systems with nonodd or odd nonlinearities

DOI10.1006/jmaa.1998.5938zbMath0921.35062OpenAlexW1975831041MaRDI QIDQ1269546

Wen Ming Zou

Publication date: 29 September 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.5938

zbMATH Keywords

infinitely many solutions

Mathematics Subject Classification ID

Related Items (18)

Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms ⋮ Multiple solutions of superlinear cooperative elliptic systems at resonant ⋮ Solutions on asymptotically periodic elliptic system with new conditions ⋮ Asymptotically or super linear cooperative elliptic systems in the whole space ⋮ Infinitely many periodic solutions for asymptotically linear Hamiltonian systems ⋮ Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups ⋮ Existence and multiplicity results for some elliptic systems with discontinuous nonlinearities ⋮ Infinitely many solutions for Hamiltonian systems ⋮ Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms ⋮ Nonexistence and multiplicity of solutions for nonlinear elliptic systems in \(\mathbb{R}^N\) ⋮ Multiple solutions for asymptotically linear elliptic systems ⋮ Multiple solutions for resonant elliptic equations via local linking theory and Morse theory ⋮ Infinitely many solutions for resonance elliptic systems ⋮ Computations of critical groups and periodic solutions for asymptotically linear Hamiltonian systems ⋮ Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations ⋮ Ground state solutions for resonant cooperative elliptic systems with general superlinear terms ⋮ Infinitely many solutions for cooperative elliptic systems with odd nonlinearity ⋮ Asymptotically linear cooperative elliptic system: existence and multiplicity

Cites Work

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• A variational approach to subquadratic perturbations of elliptic systems
• Nontrivial solutions for a strongly resonant problem
• Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition
• Critical point theory for indefinite functionals with symmetries
• A strong resonance problem
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Variational elliptic problems which are nonquadratic at infinity
• Bounded resonance problems for semilinear elliptic equations
• A variational approach to noncooperative elliptic systems

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