On multiple solutions for a class of semilinear wave equations

DOI10.1016/0362-546X(91)90068-CzbMath0729.35081OpenAlexW2049281833MaRDI QIDQ3353463

Juha Berkovits, Vesa Mustonen

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90068-c

zbMATH Keywords

semilinear wave equationsnumber of weak solutions

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Degree, winding number (55M25)

Related Items

Periodic solutions of semilinear wave equations with discontinuous nonlinearities, On the existence of multiple solutions for semilinear equations with monotone nonlinearities crossing a finite number of eigenvalues, On the Leray-Schauder formula and bifurcation, Unnamed Item, Periodic solutions of some semilinear wave equations and systems: a survey.

Cites Work

• An extension of Leray-Schauder degree and applications to nonlinear wave equations
• On the existence of multiple solutions for a nonlinear wave equation
• Periodic solutions of a nonlinear wave equation without assumption of monotonicity
• Periodic solutions of nonlinear vibrating strings and duality principles
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