Rotationally invariant periodic solutions of semilinear wave equations

DOI10.1155/S1085337598000499zbMath0973.35024MaRDI QIDQ5926224

Schechter, Martin

Publication date: 27 November 2001

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48966

zbMATH Keywords

essential spectrum of the linear wave operator

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Existence of solutions for minimax problems (49J35) Second-order nonlinear hyperbolic equations (35L70) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (13)

Dynamics of nonlinear hyperbolic equations of Kirchhoff type ⋮ Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance ⋮ Existence of multiple periodic solutions to asymptotically linear wave equations in a ball ⋮ A new index theory for linear self-adjoint operator equations and its applications ⋮ Weak linking. ⋮ Infinitely many periodic solutions for a semilinear wave equation in a ball in \(\mathbb R^n\) ⋮ Critical point theory in infinite dimensional spaces using the Leray-Schauder index ⋮ Periodic solutions to Klein-Gordon systems with linear couplings ⋮ Existence of multiple periodic solutions for a semilinear wave equation in an \(n\)-dimensional ball ⋮ Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent ⋮ Existence of multiple periodic solutions to a semilinear wave equation with x-dependent coefficients ⋮ Multiple periodic solutions for an asymptotically linear wave equation with x-dependent coefficients ⋮ Periodic solutions of semilinear higher dimensional wave equations

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