CONVERGENCE IN SOBOLEV SPACES OF SOLUTIONS FOR ELLIPTIC PROBLEMS ON VARYING DOMAINS
ELENA ROXANA ARDELEANU âVasile Alecsandriâ University of BacÄu,
Department of Mathematics and Informatics,
Calea MÄrÄÈeÈti 157, BacÄu 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.