Existence of a Solution to a Stationary Quasi-Variational Inequality in a Multi-Connected Domain

Junichi Aramaki

Abstract

We consider a stationary quasi-variational inequality in a multi-connected domain and show the existence of a solution to the inequality. The problem is related to the Bean critical-state model in type II superconductors. Mathematically, we are concerned with a quasi-variational inequality containing a p-curl inequality with a curl constraint by a function of the solution.

Author information

Contact details are reproduced from the original publication and may be historical.

Junichi Aramaki

Division of Science, Faculty of Science and Engineering, Tokyo Denki University, Saitama 350-0394, Japan

aramaki@hctv.ne.jp

Keywords

Quasi-variational inequality
stationary variational problem
existence of solution

Mathematics Subject Classification

35A15, 35J20, 35H30, 35D05, 35Q60

Suggested citation

J. Aramaki. “Existence of a Solution to a Stationary Quasi-Variational Inequality in a Multi-Connected Domain.” Journal of Convex Analysis 28 (2021), No. 1, 237–250.