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http://hdl.handle.net/10773/5373
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). |
URI: | http://hdl.handle.net/10773/5373 |
ISBN: | 978-0-8218-4834-8 |
Appears in Collections: | DMat - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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C5_Contemp_Math_2007[1].pdf | draft | 256.23 kB | Adobe PDF | View/Open |
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