Multiple solutions for the p-laplace equation with nonlinear boundary conditions

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In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation -Δpu + |u|p-2u = f(x,u) in a smooth bounded domain Ω of Rdbl;N with nonlinear boundary conditions |Δu|p-2;∂u/∂v = g(x, u) on ∂Ω. The proof is based on variational arguments. © 2006 Texas S...

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Detalles Bibliográficos
Autor principal: Bonder, J.F.
Formato: JOUR
Materias:
Nonlinear boundary conditions
p-laplace equations
Variational methods
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10726691_v2006_n_p1_Bonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation -Δpu + |u|p-2u = f(x,u) in a smooth bounded domain Ω of Rdbl;N with nonlinear boundary conditions |Δu|p-2;∂u/∂v = g(x, u) on ∂Ω. The proof is based on variational arguments. © 2006 Texas State University - San Marcos.

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