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Title: Three nontrivial solutions for the p-Laplacian Neumann problems with a concave nonlinearity near the origin
Author: 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).
ISBN: 978-0-8218-4834-8
Appears in Collections:DMat - Capítulo de livro

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