Existence results for Gradient elliptic systems with nonlinear boundary conditions

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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...

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Detalles Bibliográficos
Autores principales: Bonder, J.F., Martínez, S., Rossi, J.D.
Formato: Artículo publishedVersion
Publicado: 2007
Materias:
Elliptic systems
Nonlinear boundary conditions
Variational problems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10219722_v14_n1-2_p153_Bonder
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10219722_v14_n1-2_p153_Bonder_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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