The Nehari Manifold Approach for a p( x)-Laplacian Problem with Nonlinear Boundary Conditions.

We consider a class of p( x)-Laplacian equations involving nonnegative weight functions with nonlinear boundary conditions. Our technical approach is based on the Nehari manifold, which is similar to the fibering method proposed by Drabek and Pohozaev, together with the recent idea from Brown and Wu. [ABSTRACT FROM AUTHOR]