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

Research output: Contribution to journalArticlepeer-review

Abstract

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).

Original languageEnglish (US)
Pages (from-to)929-938
Number of pages10
JournalCommunications in Analysis and Geometry
Volume13
Issue number5
DOIs
StatePublished - Dec 2005

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Geometry and Topology
  • Statistics, Probability and Uncertainty

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