MULTIPLE SOLUTIONS FOR A NEUMANN-TYPE DIFFERENTIAL INCLUSION PROBLEM INVOLVING THE p(.)-LAPLACIAN

作者：Chinni Antonia^*; Livrea Roberto

来源：Discrete and Continuous Dynamical Systems - Series S, 2012, 5(4): 753-764.

DOI：10.3934/dcdss.2012.5.753

• p(x)-Laplacian
• variable exponent Sobolev space
• critical points of locally Lipschitz continuous functionals
• differential inclusion problem
• three-critical-points theorem

Using a multiple critical points theorem for locally Lipschitz continuous functionals, we establish the existence of at least three distinct solutions for a Neumann-type differential inclusion problem involving the p(.)-Laplacian.

• 出版日期2012-8