NONTRIVAL SOLUTION FOR NONLINEAR p(x)-LAPLACIAN DIRICHLET PROBLEM WITH THE SIGN-CHANGING WEIGHT

作者：Dudek Sylwia^*

来源：Dynamic Systems and Applications, 2015, 24(1-2): 67-81.

• p(x)-Laplacian
• hemivariational inequality
• Cerami condition
• mountain pass theorem
• variable exponent Sobolev space

In this paper we study the nonlinear elliptic problem involving p(x)-Laplacian with nonsmooth potential, where the weighted function lambda may change sign. By using critical point theory for locally Lipschitz functionals due to Chang [6], we obtain conditions which ensure the existence of a solution for our problem.

• 出版日期2015-6