6533b86dfe1ef96bd12ca237

RESEARCH PRODUCT

Multiple solutions for a Neumann-type differential inclusion problem involving the p(.)-Laplacian

Roberto LivreaA. Chinnì

subject

Pure mathematicsApplied Mathematicsthree-critical-points theoremdifferential inclusion problemType (model theory)Lipschitz continuityDifferential inclusionCritical points of locally Lipschitz continuous functionalcritical points of locally Lipschitz continuous functionalsp-LaplacianDiscrete Mathematics and Combinatoricsp(x)-Laplacian; variable exponent Sobolev space; critical points of locally Lipschitz continuous functionals; differential inclusion problem; three-critical-points theoremp(x)-Laplacianvariable exponent Sobolev spaceAnalysisMathematics

description

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.

http://hdl.handle.net/11570/1917795