CONVERGENCE IN SOBOLEV SPACES OF SOLUTIONS FOR ELLIPTIC PROBLEMS ON VARYING DOMAINS
ELENA ROXANA ARDELEANU ”Vasile Alecsandri” University of Bacău,
Department of Mathematics and Informatics,
Calea Mărășești 157, Bacău 600115, ROMANIA
e-mail: rardeleanu@ub.ro
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.