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 Three nontrivial solutions for the p-Laplacian Neumann problems with a concave nonlinearity near the origin
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5373

title: Three nontrivial solutions for the p-Laplacian Neumann problems with a concave nonlinearity near the origin
authors: Aizicovici, Sergiu
Papageorgiou, Nikolaos
Staicu, Vasile
keywords: P-Laplacian
Concave nonlinearity
Critical groups
Poincarè-Hopf formula
Local minimizer
issue date: 2010
publisher: American Mathematical Society
abstract: We consider a nonlinear Neumann problem driven by the p- Laplacian, with a right-hand side nonlinearity which is concave near the origin. Using variational techniques, combined with the method of upper-lower solutions and with Morse theory, we show that the problem has at least three nontrivial smooth solutions, two of which have a constant sign (one positive and one negative).
URI: http://hdl.handle.net/10773/5373
ISBN: 978-0-8218-4834-8
appears in collectionsMAT - Capítulo de livro

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