Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities

S. Carl, Vy K. Le and D. Motreanu

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-17

Abstract:

We consider quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions, on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities, including existence, comparison, compactness, and extremality results.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:947314

DOI: 10.1155/IJMMS.2005.401

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