MISC

2014年4月

The regularity for nonlinear parabolic systems of p-Laplacian type with critical growth

JOURNAL OF DIFFERENTIAL EQUATIONS
  • Chiara Leone
  • ,
  • Masashi Misawa
  • ,
  • Anna Verde

256
8
開始ページ
2807
終了ページ
2845
記述言語
英語
掲載種別
DOI
10.1016/j.jde.2014.01.018
出版者・発行元
ACADEMIC PRESS INC ELSEVIER SCIENCE

We study the Holder regularity of weak solutions to the evolutionary p-Laplacian system with critical growth on the gradient. We establish a natural criterion for proving that a small solution and its gradient are locally Holder continuous almost everywhere. Actually our regularity result recovers the classical result in the case p = 2 [16] and can be applied to study the regularity of the heat flow for in-dimensional H-systems as well as the in-harmonic flow. (C) 2014 Elsevier Inc. All rights reserved.

Web of Science ® 被引用回数 : 10

リンク情報
DOI
https://doi.org/10.1016/j.jde.2014.01.018
Scopus
https://www.scopus.com/record/display.uri?eid=2-s2.0-84893735471&origin=inward
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000331849000007&DestApp=WOS_CPL
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84893735471&origin=inward