Multiple nontrivial solutions of Neumann \(p\)-Laplacian systems

DOI10.12775/TMNA.2009.028zbMath1183.35119OpenAlexW2588375679MaRDI QIDQ1049701

Motreanu, Dumitru, Perera, Kanishka

Publication date: 13 January 2010

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

Full work available at URL: https://doi.org/10.12775/tmna.2009.028

zbMATH Keywords

Morse theorynonlinear eigenvalue problemscohomological indexindefinite weightsnontrivial critical groupsmultiple nontrivial solutionsNeumann \(p\)-Laplacian systems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

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