Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/5264
Título: | Existence of multiple solutions with precise sign information for superlinear Neumann problems |
Autor: | Aizicovici, Sergiu Papageorgiou, Nikolaos Staicu, Vasile |
Palavras-chave: | Neumann problem p-Laplacian Constant sign solutions Nodal solutions Second deformation theorem Linking theorem Critical groups |
Data: | 2009 |
Editora: | Springer Verlag |
Resumo: | We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator and having a p-superlinear nonlinearity. Using truncation techniques combined with the method of upper–lower solutions and variational arguments based on critical point theory, we prove the existence of five nontrivial smooth solutions, two positive, two negative and one nodal. For the semilinear (i.e., p = 2) problem, using critical groups we produce a second nodal solution. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/5264 |
ISSN: | 0373-3114 |
Aparece nas coleções: | DMat - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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P42_AMPA_188_2009,_679-715.pdf | 433.1 kB | Adobe PDF |
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