The paper focuses on the existence of multiple solutions of variational- hemivariational inequalities depending on parameters and involving the p-Laplacian operator on a bounded domain RN. The parameters relevant for the solvability are precisely estimated. In the previous works such results have been obtained by assuming that N < p. Here we treat the case N > p, which is the main novelty of our work. The paper contains results regarding positive solutions as well.

Boundary value problems with nonsmooth potential, constraints and parameters

BONANNO, Gabriele;
2013-01-01

Abstract

The paper focuses on the existence of multiple solutions of variational- hemivariational inequalities depending on parameters and involving the p-Laplacian operator on a bounded domain RN. The parameters relevant for the solvability are precisely estimated. In the previous works such results have been obtained by assuming that N < p. Here we treat the case N > p, which is the main novelty of our work. The paper contains results regarding positive solutions as well.
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/2635170
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