Multiple solutions for the p-Laplace equation with nonlinear boundary conditions
Date
2006-03-21
Authors
Fernandez Bonder, Julian
Journal Title
Journal ISSN
Volume Title
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. Electronic Journal of Differential Equations, 2006(37), pp. 1-7.
Rights
Attribution 4.0 International