Multiple non-trivial solutions of the Neumann problem for p-Laplacian systems

DOI10.1080/17476930802509262zbMath1190.35078OpenAlexW1971568911MaRDI QIDQ3562365

Perera, Kanishka, Said El Manouni

Publication date: 21 May 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930802509262

zbMATH Keywords

Morse theoryNeumann problemcohomological indexindefinite weights\(p\)-Laplacian systemsnon-linear eigenvalue problemsmultiple non-trivial solutionsnon-trivial critical groups

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN

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