MISC

2002年12月

Partial regularity results for evolutional p-Laplacian systems with natural growth

MANUSCRIPTA MATHEMATICA
  • M Misawa

109
4
開始ページ
419
終了ページ
454
記述言語
英語
掲載種別
DOI
10.1007/s00229-002-0296-6
出版者・発行元
SPRINGER-VERLAG

We study a regularity for evolutional p-Laplacian systems with natural growth on the gradient. It is shown that weak solutions of small image and their gradients are partial Holder continuous and the size of the exceptional set for regularity is estimated in terms of Hausdorff measure. The main ingredient is to improve the Gehring inequality, which implies the higher integrability of the gradient and was first developed by Kinnunen and Lewis, so as to be well-worked in our perturbation estimate. We also use a refinement of the perturbation argument and make a device for Holder estimates of the gradient.

Web of Science ® 被引用回数 : 18

リンク情報
DOI
https://doi.org/10.1007/s00229-002-0296-6
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000180025700002&DestApp=WOS_CPL

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