Chaired by: prof. Stanisław Migórski and dr hab. Anna Ochal

Room: 1177

Date: Thursday at 10:15-11:45

A Convergence Criterium for Penalty Quasivariational Inequalities

TALK TITLE: A Convergence Criterium for Penalty Quasivariational Inequalities

ABSTRACT: We state and prove a convergence criterium for a class of elliptic quasivariational  inequalities in a reflexive Banach space. Each inequality P in the class is governed by a set of constraints K and has a unique solution u in K. Our criterium provides necessary and sufficient conditions which guarantee that an arbitrary sequence u_n converges to the solution u. 
Then, we consider a sequence P_n of unconstrainted variational-hemivariational inequalities governed by a sequence of parameters lambda_n. We use our criterium to deduce that, if the term u_n represents a solution of Problem P_n, then the sequence u_n converges to u as lambda_n goes to 0. 

The talk is based on the recent paper of C. Gariboldi, A. Ochal, M. Sofonea and D.A. Tarzia (Applicable Analysis, 2023) https://doi.org/10.1080/00036811.2023.2268636

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