Multiple solutions for the p-Laplace equation with nonlinear boundary conditions
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.
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 License
This work is licensed under a Creative Commons Attribution 4.0 International License.
