Existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplace operator

In this article we study the nonlinear Steklov boundary-value problem $$displaylines{ Delta_{p(x)} u=|u|^{p(x)-2}u quad hbox{in } Omega, cr |abla u|^{p(x)-2}frac{partial u}{partial u}=lambda f(x,u) quad hbox{on } partialOmega. }$$ Using the variational method, under appropriate assumptions on...

Full description

Bibliographic Details
Main Authors: Mostafa Allaoui, Abdel Rachid El Amrouss, Anass Ourraoui
Format: Article
Language:English
Published: Texas State University 2012-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/132/abstr.html