Multiple solutions for the p-Laplace equation with nonlinear boundary conditions
Julián Fernández Bonder · Repositorio Digital Institucional de la Universidad de Buenos Aires (Universidad de Buenos Aires) · 2006
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.