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arXiv · 2309.04609

A class of elliptic quasi-variational-hemivariational inequalities with applications

S. Migorski·JC. Yao·SD. Zeng
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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.

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S. Migorski, JC. Yao, SD. Zeng. 2023-09-08. A class of elliptic quasi-variational-hemivariational inequalities with applications. https://doi.org/10.1016/j.cam.2022.114871

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