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Título : | Positive solution for a class of coupled (p, q)-Laplacian nonlinear systems. |
Autor : | Martins, Eder Marinho Ferreira, Wenderson Marques |
Fecha de publicación : | 2014 |
Citación : | MARTINS, E. M.; FERREIRA, W. M. Positive solution for a class of coupled (p, q)-Laplacian nonlinear systems. Boundary Value Problems, v. 2014, p. 21, 2014. Disponível em: <http://www.boundaryvalueproblems.com/content/pdf/1687-2770-2014-21.pdf>. Acesso em: 06 mar. 2015. |
Resumen : | In this article, we prove the existence of a nontrivial positive solution for the elliptic system ⎧⎨ ⎩ –_pu = ω(x)f (v) in_, –_qv = ρ(x)g(u) in_, (u, v) = (0,0) on ∂_, where_p denotes the p-Laplacian operator, p, q > 1 and _ is a smooth bounded domain in RN (N ≥ 2). The weight functions ω and ρ are continuous, nonnegative and not identically null in _, and the nonlinearities f and g are continuous and satisfy simple hypotheses of local behavior, without involving monotonicity hypotheses or conditions at∞. We apply the fixed point theorem in a cone to obtain our result. MSC: 35B09; 35J47; 58J20 |
URI : | http://www.repositorio.ufop.br/handle/123456789/4786 |
metadata.dc.identifier.doi: | https://doi.org/10.1186/1687-2770-2014-21 |
ISSN : | 1687-2762 |
metadata.dc.rights.license: | O periódico Boundary Value Problems permite o arquivamento da versão/PDF do editor no Repositório Institucional. Fonte: Sherpa/Romeo <http://www.sherpa.ac.uk/romeo/search.php?issn=1687-2762>. Acesso em: 20 out. 2016. |
Aparece en las colecciones: | DEMAT - Artigos publicados em periódicos |
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ARTIGO_PositiveSolutionClass.pdf | 622,53 kB | Adobe PDF | Visualizar/Abrir |
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