Multiple solutions for second-order Hamiltonian systems via computation of the critical groups

DOI10.1016/S0362-546X(99)00324-7zbMath0997.37039OpenAlexW1985515761MaRDI QIDQ5940171

Wen Ming Zou

Publication date: 14 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00324-7

zbMATH Keywords

critical groupsresonanceasymptotically linear Hamiltonian systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (8)

Infinitely many periodic solutions for asymptotically linear Hamiltonian systems ⋮ Nontrivial solutions for resonant cooperative elliptic systems via computations of the critical groups ⋮ Infinitely many solutions for Hamiltonian systems ⋮ Computations of critical groups and periodic solutions for asymptotically linear Hamiltonian systems ⋮ Infinitely many periodic solutions for second order Hamiltonian systems ⋮ Multiple solutions for elliptic equations with resonance ⋮ Existence of infinitely many periodic solutions for ordinary \(p\)-Laplacian systems ⋮ On periodic solutions of subquadratic second order non-autonomous Hamiltonian systems

Cites Work

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• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Multiple solutions for indefinite functionals and applications to asymptotically linear problems
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

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