On the existence of multiple solutions for semilinear equations with monotone nonlinearities crossing a finite number of eigenvalues

DOI10.1016/0362-546X(91)90136-OzbMath0757.35002MaRDI QIDQ4008843

Juha Berkovits, Vesa Mustonen

Publication date: 27 September 1992

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

zbMATH Keywords

degree theorypoint spectrumNemytskii operatorclosed selfadjoint linear operator

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25) A priori estimates in context of PDEs (35B45) General topics in partial differential equations (35A99)

Related Items (3)

Periodic solutions of semilinear wave equations with discontinuous nonlinearities ⋮ On the Leray-Schauder formula and bifurcation ⋮ Unnamed Item

Cites Work

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• Saddle points and multiple solutions of differential equations
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• Periodic solutions of a nonlinear wave equation without assumption of monotonicity
• Une généralisation de théorèmes de J. A. Marlin
• On multiple solutions for a class of semilinear wave equations
• Multiple Nontrivial Solutions of Resonant and Nonresonant Asymptotically Linear Problems
• Multiple Nontrivial Solutions of Semilinear Elliptic Equations
• Perturbed nonlinear abstract equations

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