Bonder, J.F. - Martínez, S. - Rossi, J.D.

En:

Nonlinear Diff. Equ. Appl. 2007;14(1-2):153-179

Fecha:

2007

Formato:

application/pdf

Tipo de documento:

info:eu-repo/semantics/article
info:ar-repo/semantics/artículo
info:eu-repo/semantics/publishedVersion

Descriptores:

Elliptic systems - Nonlinear boundary conditions - Variational problems

Descripción:

We prove the existence of nontrivial solutions to the system Δpu = |u|p-2u, Δqv = |v| q-2v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by |∇u|p-2∂u/∂ν = F u(x, u, v), |∇u|q-2∂v/∂ν = F v(x, u, v). The proofs are done under suitable assumptions on the potential F, and based on variational arguments. Our results include subcritical, resonant and critical growth on F. © 2007 Birkhäuser Verlag.
Fil:Martínez, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.

Identificador(es):

http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder

Derechos:

info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar

Descargar texto: paper_10219722_v14_n1-2_p153_Bonder.oai

(tamaño kb)

Cita bibliográfica:

Bonder, J.F. (2007). Existence results for Gradient elliptic systems with nonlinear boundary conditions (info:eu-repo/semantics/article). [consultado: ] Disponible en el Repositorio Digital Institucional de la Universidad de Buenos Aires: <http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&cl=CL1&d=paper_10219722_v14_n1-2_p153_Bonder_oai>