Type II regions between curves of the Fučik spectrum and critical groups

DOI10.12775/TMNA.1998.039zbMath0940.35094OpenAlexW2590566148MaRDI QIDQ1305296

Schechter, Martin, Perera, Kanishka

Publication date: 10 July 2000

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.1998.039

zbMATH Keywords

critical groupsMorse theoryvariational methodsjumping nonlinearitiesFučik spectrumsemilinear elliptic PDEhomological local linking

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)

Related Items (14)

Computation of critical groups in Fučík resonance problems. ⋮ Nonlinear four-point problem: non-resonance with respect to the Fučík spectrum ⋮ The Fučík spectrum of Schrödinger operator and the existence of four solutions of Schrödinger equations with jumping nonlinearities ⋮ Bifurcation surfaces stemming from the Fučik spectrum ⋮ Nonresonance conditions on the potential with respect to the Fučík spectrum for semilinear Dirichlet problems ⋮ The ∞-Fucík spectrum ⋮ Double linking theorem and multiple solutions. ⋮ On the Fucík spectrum ⋮ Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems ⋮ The Fucik spectrum and critical groups ⋮ Some remarks on the Fučík spectrum of the \(p\)-Laplacian and critical groups ⋮ Critical groups and multiple solutions of the \(p\)-Laplacian equations ⋮ 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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