On the weak limits of smooth maps for the Dirichlet energy between manifolds

Details On the weak limits of smooth maps for the Dirichlet energy between manifolds On the weak limits of smooth maps for the Dirichlet energy between manifolds

2006-11-19

arxiv.org/abs/math/0611581v1

Communications in Analysis and Geometry, 13 (2005), no. 5, 929-938

Mathematics

Analysis of PDEs

7 pages

Scientific paper

We identify all the weak sequential limits of smooth maps in $W^{1,2}(M,N)$.
In particular, this implies a necessary and sufficient topological condition
for smooth maps to be weakly sequentially dense in $W^{1,2}(M,N)$.

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