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

Date

2006-03-21

Authors

Fernandez Bonder, Julian

Journal Title

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Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

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

Description

Keywords

p-Laplace equations, Nonlinear boundary conditions, Variational methods

Citation

Fernández Bonder, J. (2006). Multiple solutions for the p-Laplace equation with nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2006</i>(37), pp. 1-7.

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Attribution 4.0 International

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