Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/17236
Título: | Nonlinear Dirichlet problems with double resonance |
Autor: | Aizicovici, Sergiu Papageorgiou, Nikolaos S. Staicu, Vasile |
Palavras-chave: | p-Laplacian Double resonance Nonlinear regularity Critical groups Constant sign and nodal solutions |
Data: | Jul-2017 |
Editora: | American Institute of Mathematical Sciences (AIMS) |
Resumo: | We study a nonlinear Dirichlet problem driven by the sum of a $p-$Laplacian ($p>2$) and a Laplacian and which at $\pm\infty$ is resonant with respect to the spectrum of $\left( -\triangle_{p},W_{0}^{1,p}\left( \Omega\right) \right) $ and at zero is resonant with respect to the spectrum of $\left( -\triangle,H_{0}^{1}\left( \Omega\right) \right) $ (double resonance). We prove two multiplicity theorems providing three and four nontrivial solutions respectivelly, all with sign information. Our approach uses critical point theory together with truncation and comparison techniques and Morse theory. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/17236 |
ISSN: | 1534-0392 |
Versão do Editor: | http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=13910 |
Aparece nas coleções: | CIDMA - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
APSPaper_CPAA_16(2017)_1147-1168.pdf | Main article | 412.99 kB | Adobe PDF |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.