Topology of sobolev mappings IV

Research output: Contribution to journalArticle

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
StatePublished - Dec 2005

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Topology
Boundary Problem
Connected Components
Dirichlet Problem
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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

Cite this

Topology of sobolev mappings IV. / Hang, Fengbo; Lin, Fanghua.

In: Discrete and Continuous Dynamical Systems, Vol. 13, No. 5, 12.2005, p. 1097-1124.

Research output: Contribution to journalArticle

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