A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities

DOI10.1007/PL00001430zbMath0964.35052OpenAlexW2017861902MaRDI QIDQ1596319

Schechter, Martin, Perera, Kanishka

Publication date: 2 July 2001

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001430

zbMATH Keywords

critical groupsMorse theoryvariational methodsjumping nonlinearitiesFučik spectrumsemilinear elliptic PDE

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence theories for problems in abstract spaces (49J27)

Related Items (7)

Computation of critical groups in Fučík resonance problems. ⋮ New Linking Theorem and Sign-Changing Solutions ⋮ Double linking theorem and multiple solutions. ⋮ The Fucik spectrum and critical groups ⋮ Non-uniformly asymptotically linear \(p\)-Laplacian problems ⋮ On the role played by the Fučík spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist ⋮ Morse theory applied to semilinear problems

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