On some nonlocal eigenvalue problems

DOI10.3934/dcdss.2012.5.707zbMath1263.47074OpenAlexW2334222360MaRDI QIDQ449511

Ravi P. Agarwal, Perera, Kanishka, Zhi-tao Zhang

Publication date: 30 August 2012

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.707

zbMATH Keywords

multiplicityMorse theorynonlocal boundary value problemsnonlocal eigenvalue problems\(\mathbb{Z}_2\)-cohomological indexminimax eigenvaluesnontrivial critical groups

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (5)

Multiplicity results for degenerate fractional \(p\)-Laplacian problems with critical growth ⋮ Multiplicity of nontrivial solutions for a critical degenerate Kirchhoff type problem ⋮ Existence and multiplicity of solutions for critical Kirchhoff-type \(p\)-Laplacian problems ⋮ Existence of solutions for the Neumann boundary problem of Kirchhoff type equations ⋮ An elliptic equation under the effect of two nonlocal terms

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