A multiplicity result for a class of nonlinear problems with application to a nonlinear wave equation

DOI10.1016/0362-546X(81)90064-XzbMath0451.35043OpenAlexW1975678792MaRDI QIDQ3897383

Helmut Hofer

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90064-x

zbMATH Keywords

resolventeigenvaluewave equationvariational methodsunbounded linear operatorresonance problemsexistence and multiplicity of solutionsapproximation procedureindefinite functionalsinfinite-dimensional kerneldegree- theoryLandesman- Lazer type

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Second-order nonlinear hyperbolic equations (35L70) Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (4)

Semilinear systems with a multi-valued nonlinear term ⋮ Periodic solutions of semilinear wave equations with discontinuous nonlinearities ⋮ On Strongly Indefinite Functionals with Applications ⋮ Unnamed Item

Cites Work

• Some applications of monotone operator theory to resonance problems
• Periodic solutions of hamiltonian systems
• Forced vibrations for a nonlinear wave equation
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• Unnamed Item

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