Multiple solutions for a Neumann-type differential inclusion problem involving the $p(\cdot)$-Laplacian
Antonia Chinnì - Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, Messina, 98166, Italy (email)
Abstract: 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 $p(\cdot)$-Laplacian.
Keywords: $p(x)$-Laplacian, variable exponent Sobolev space, critical points of locally Lipschitz continuous functionals, differential inclusion problem,
Received: April 2011; Revised: August 2011; Published: November 2011.