6533b86efe1ef96bd12cb451

RESEARCH PRODUCT

Multiple solutions for a Dirichlet problem with p-Laplacian and set-valued nonlinearity

Salvatore A. MaranoDiego AvernaDumitru Motreanu

subject

Dirichlet problemGeneral MathematicsMathematical analysisNull (mathematics)Multiple solutions Dirichlet problem p-Laplacian set-valued nonlinearitySet (abstract data type)symbols.namesakeGeneralized gradientNonlinear systemDirichlet eigenvalueSettore MAT/05 - Analisi MatematicaDirichlet's principlep-LaplaciansymbolsMathematics

description

AbstractThe existence of a negative solution, of a positive solution, and of a sign-changing solution to a Dirichlet eigenvalue problem with p-Laplacian and multi-valued nonlinearity is investigated via sub- and supersolution methods as well as variational techniques for nonsmooth functions.

http://hdl.handle.net/20.500.11769/26172