Nontrivial Solutions ofp-Superlinearp-Laplacian Problems

DOI10.1080/00036810310001596638zbMath1039.35043OpenAlexW1998625083WikidataQ58141993 ScholiaQ58141993MaRDI QIDQ4459170

Perera, Kanishka

Publication date: 25 March 2004

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810310001596638

zbMATH Keywords

critical groupsMorse theoryvariational methods\(p\)-LaplacianYang index\(p\)-superlinear problemsgeneralized local linkingmin-max eigenvalues

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) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Existence and multiplicity of solutions for asymptotically linear, noncoercive elliptic equations ⋮ A multiplicity theorem for \(p\)-superlinear \(p\)-Laplacian equations using critical groups and Morse theory ⋮ Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity ⋮ Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity ⋮ NONTRIVIAL SOLUTIONS OF p-SUPERLINEAR p-LAPLACIAN PROBLEMS VIA A COHOMOLOGICAL LOCAL SPLITTING ⋮ Nontrivial solutions of some quasilinear problems via a cohomological local splitting ⋮ On a nonlocal asymmetric Kirchhoff problem

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