Existence of multiple weak solutions for asymptotically linear wave equations

DOI10.1016/j.na.2005.09.022zbMath1101.35056OpenAlexW2072321477MaRDI QIDQ2499612

Mieko Tanaka

Publication date: 14 August 2006

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/j.na.2005.09.022

zbMATH Keywords

one-space dimension

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)

Related Items (7)

Existence of multiple periodic solutions to asymptotically linear wave equations in a ball ⋮ Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions ⋮ Infinitely many periodic solutions for a semilinear wave equation with x-dependent coefficients ⋮ A new index theory for linear self-adjoint operator equations and its applications ⋮ Index theory and multiple solutions for asymptotically linear wave equation ⋮ Existence of multiple periodic solutions for a semilinear wave equation in an \(n\)-dimensional ball ⋮ Existence of multiple periodic solutions to a semilinear wave equation with x-dependent coefficients

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• Computation of critical groups in resonance problems where the nonlinearity may not be sublinear.

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