Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance

Mostrar todas las versiones(3)

We study the existence of weak solutions to the equation Δpu = |u|p-2u + f(x, u) with the nonlinear boundary condition |∇u|p-2∂u/∂v = λ|u|p-2u - h(x, u). We assume Landesman-Lazer type conditions and use variational arguments to prove the existence of solutions.

Guardado en:
Detalles Bibliográficos
Autores principales: Martínez, S., Rossi, J.D.
Formato: Artículo publishedVersion
Publicado: 2003
Materias:
Nonlinear boundary conditions
p-Laplacian
Resonance
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10726691_v2003_n_p1_Martinez
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2003_n_p1_Martinez_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We study the existence of weak solutions to the equation Δpu = |u|p-2u + f(x, u) with the nonlinear boundary condition |∇u|p-2∂u/∂v = λ|u|p-2u - h(x, u). We assume Landesman-Lazer type conditions and use variational arguments to prove the existence of solutions.

Ejemplares similares