Existence and multiplicity of solutions for a Neumann-type p ( x )-Laplacian equation with nonsmooth potential

@inproceedings{Ge2011ExistenceAM,
  title={Existence and multiplicity of solutions for a Neumann-type p ( x )-Laplacian equation with nonsmooth potential},
  author={Bin Ge and Qingmei Zhou},
  year={2011}
}
In this paper we study Neumann-type p(x)-Laplacian equation with nonsmooth potential. Firstly, applying a version of the non-smooth three-critical-points theorem we obtain the existence of three solutions of the problem in W (Ω). Finally, we obtain the existence of at least two nontrivial solutions, when α− > p.