Existence Results for the p(x)‎-Laplacian with Nonlinear Boundary Condition

Abstract EN

By using the variational method, under appropriate assumptions on the perturbation terms f(x,u),g(x,u) such that the associated functional satisfies the global minimizer condition and the fountain theorem, respectively, the existence and multiple results for the p(x)-Laplacian with nonlinear boundary condition in bounded domain Ω were studied.

The discussion is based on variable exponent Lebesgue and Sobolev spaces.