CONVERGENCE IN SOBOLEV SPACES OF SOLUTIONS FOR ELLIPTIC PROBLEMS ON VARYING DOMAINS

Abstract

In this note we discuss results regarding the convergence in the sense of Mosco of a se-quence of open sets. This concept of convergence of sets is a tool in the study of the con-vergence in Sobolev spaces of the solutions of an elliptic boundary value problem, as the domain is varying.

Cuvinte cheie

elliptic partial differential equation convergence of the solutions convergence in sense of Mosco