Topology of sobolev mappings IV

Research output: Contribution to journalArticlepeer-review

Abstract

We will classify the path connected components of spaces of Sobolev maps between manifolds and study the strong and weak density of smooth maps in the spaces of Sobolev maps for the case the domain manifold has nonempty boundary and Dirichlet problems.

Original languageEnglish (US)
Pages (from-to)1097-1124
Number of pages28
JournalDiscrete and Continuous Dynamical Systems
Volume13
Issue number5
DOIs
StatePublished - Dec 2005

Keywords

  • Density of smooth maps
  • Dirichlet boundary conditions
  • K-homotopy classes
  • Obstruction theory
  • Path connected components

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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