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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119344We 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 $W^{1,2}(M,N)$.7 pagesAnalysis of PDEsFunctional Analysis58D15On the weak limits of smooth maps for the Dirichlet energy between manifoldstext