Multiple Solutions for a Differential Inclusion Problem with Nonhomogeneous Boundary Conditions

作者：Lisei Hannelore^*; Varga Csaba

来源：Numerical Functional Analysis and Optimization, 2009, 30(5-6): 566-581.

DOI：10.1080/01630560902987857

• Boundary value problem for partial differential inclusions
• Cerami type condition
• Critical points
• Mountain pass theorem

In this paper, we use a mountain pass theorem with Cerami type conditions for locally Lipschitz functions to investigate the existence of at least one nontrivial solution for a differential inclusion problem involving the p-Laplacian and with nonlinear and nonsmooth boundary conditions. Moreover, by a symmetric version of the mountain pass theorem, we prove the existence of infinitely many solutions.

• 出版日期2009