Calculus of Variations and Geometric Measure Theory

Density results in Sobolev spaces between manifolds

Pierre Bousquet (ENS, Lyon)

created by magnani on 12 Apr 2011

20 apr 2011


Dipartimento di Matematica - Sala Seminari - ore 18:00

ABSTRACT: We consider the Sobolev space ''W{k,p}(Bm,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 ''Cinfty(Bm,N)'' is strongly dense in ''W{k,p}(Bm,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.