EVERYWHERE HOLDER CONTINUITY OF SOLUTIONS OF CERTAIN DEGENERATE ELLIPTIC-SYSTEMS

Authors
Citation
Mq. Yu et Xt. Liang, EVERYWHERE HOLDER CONTINUITY OF SOLUTIONS OF CERTAIN DEGENERATE ELLIPTIC-SYSTEMS, Journal of mathematical analysis and applications, 203(3), 1996, pp. 654-671
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
203
Issue
3
Year of publication
1996
Pages
654 - 671
Database
ISI
SICI code
0022-247X(1996)203:3<654:EHCOSO>2.0.ZU;2-J
Abstract
Consider on G a degenerate elliptic system in diagonal farm of which s olutions are in a weighted Sobolev space with weight function that bel ongs to the Muckenhoupt class A(2) and characteristic values of the le ading coefficient matrix that are proportional to a positive power of the modulus of the unknown solution. The everywhere Holder continuity in the interior of G is proved to bounded solutions. (C) 1996 Academic Press, Inc.