Holder continuity of the gradient of p(x)-harmonic mappings

Authors
Coscia, A Mingione, G
Citation
A. Coscia et G. Mingione, Holder continuity of the gradient of p(x)-harmonic mappings, CR AC S I, 328(4), 1999, pp. 363-368
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
4
Year of publication
1999
Pages
363 - 368
Database
ISI
SICI code
0764-4442(199902)328:4<363:HCOTGO>2.0.ZU;2-Z
Abstract
We prove that local minimizers u : R-n --> R-N of the functional integral \ Du(x)\(p(x)) are of class C-1,C-alpha for some alpha > 0, provided p(x) > 1 is Holder continuous. (C) Academie des Sciences/Elsevier, Paris.