COMPACTNESS PROPERTIES OF WEAKLY P-HARMONIC MAPS INTO HOMOGENEOUS SPACES

Authors
TORO T WANG CY
Citation
T. Toro et Cy. Wang, COMPACTNESS PROPERTIES OF WEAKLY P-HARMONIC MAPS INTO HOMOGENEOUS SPACES, Indiana University mathematics journal, 44(1), 1995, pp. 87-113
Citations number
31
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indiana University mathematics journal → ACNP
ISSN journal
00222518
Volume
44
Issue
1
Year of publication
1995
Pages
87 - 113
Database
ISI
SICI code
0022-2518(1995)44:1<87:CPOWPM>2.0.ZU;2-S
Abstract
In this paper we prove that the space of weakly p-harmonic maps from a n open set in R(n) into a homogeneous space with a left invariant metr ic is compact. We give a regularity criteria for weakly p-harmonic map s. As an application we prove that stationary p-harmonic maps into hom ogeneous spaces are regular, except possibly for a closed singular set of (n - p)-dimensional Hausdorff measure zero.