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

نویسندگان

  • Bin Ge
  • Qingmei Zhou
چکیده

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.

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تاریخ انتشار 2011