Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609772 | Journal of Differential Equations | 2014 | 39 Pages |
Abstract
We study the Hölder 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 Hölder continuous almost everywhere. Actually our regularity result recovers the classical result in the case p=2p=2[16] and can be applied to study the regularity of the heat flow for m-dimensional H-systems as well as the m-harmonic flow.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chiara Leone, Masashi Misawa, Anna Verde,