20 apr 2011

Abstract.

Dipartimento di Matematica - Sala Seminari - ore 18:00

ABSTRACT: We consider the Sobolev space ''W^{k,p}(B^m,N)'', where N is a smooth compact manifold, ''k'' is a positive integer and ''p'' is a real number greater than or equal to one. We address the question whether ''C^infty(B^m,N)'' is strongly dense in ''W^{k,p}(B^m,N)''. This problem has been solved by Bethuel for ''k=1''. We generalize his result to any integer k. This is a joint work with Augusto Ponce and Jean Van Schaftingen.