Topology of sobolev mappings IV

Fengbo Hang; Fanghua Lin

doi:10.3934/dcds.2005.13.1097

Topology of sobolev mappings IV

Fengbo Hang, Fanghua Lin

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	1097-1124
Number of pages	28
Journal	Discrete and Continuous Dynamical Systems
Volume	13
Issue number	5
DOIs	https://doi.org/10.3934/dcds.2005.13.1097
State	Published - 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

Access to Document

10.3934/dcds.2005.13.1097

Cite this

@article{15887d9b2db44046b9682c9f91c0c172,

title = "Topology of sobolev mappings IV",

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.",

keywords = "Density of smooth maps, Dirichlet boundary conditions, K-homotopy classes, Obstruction theory, Path connected components",

author = "Fengbo Hang and Fanghua Lin",

year = "2005",

month = dec,

doi = "10.3934/dcds.2005.13.1097",

language = "English (US)",

volume = "13",

pages = "1097--1124",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

publisher = "Southwest Missouri State University",

number = "5",

}

TY - JOUR

T1 - Topology of sobolev mappings IV

AU - Hang, Fengbo

AU - Lin, Fanghua

PY - 2005/12

Y1 - 2005/12

N2 - 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.

AB - 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.

KW - Density of smooth maps

KW - Dirichlet boundary conditions

KW - K-homotopy classes

KW - Obstruction theory

KW - Path connected components

UR - http://www.scopus.com/inward/record.url?scp=28444439559&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=28444439559&partnerID=8YFLogxK

U2 - 10.3934/dcds.2005.13.1097

DO - 10.3934/dcds.2005.13.1097

M3 - Article

AN - SCOPUS:28444439559

SN - 1078-0947

VL - 13

SP - 1097

EP - 1124

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 5

ER -

Topology of sobolev mappings IV

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this