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

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.

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Detalles Bibliográficos
Autores principales: Martínez, Sandra Rita, Rossi, Julio Daniel
Publicado: 2003
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2003_n_p1_Martinez
http://hdl.handle.net/20.500.12110/paper_10726691_v2003_n_p1_Martinez
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