A class of elliptic quasi-variational-hemivariational inequalities with applications
Dynamical Systems
2023-09-12 v1
Abstract
In this paper we study a class of quasi--variational--hemi\-va\-ria\-tio\-nal inequalities in reflexive Banach spaces. The inequalities contain a convex potential, a locally Lipschitz superpotential, and a solution-dependent set of constraints. Solution existence and compactness of the solution set to the inequality problem are established based on the Kakutani--Ky Fan--Glicksberg fixed point theorem. Two examples of the interior and boundary semipermeability models illustrate the applicability of our results.
Keywords
Cite
@article{arxiv.2309.04609,
title = {A class of elliptic quasi-variational-hemivariational inequalities with applications},
author = {S. Migorski and JC. Yao and SD. Zeng},
journal= {arXiv preprint arXiv:2309.04609},
year = {2023}
}
Comments
15p