Partial continuity for a class of elliptic systems with non-standard growth

We study partial Holder continuity of weak solutions to elliptic systems with variable non-standard growth, which are related to the function $\Phi(x,t):=t^{p(x)}\log(e+t)$. We prove that weak solutions are Holder continuous for any Holder exponent, except Lebesgue measure zero sets, if system...

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Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Author:	Jihoon Ok
Format:	Article
Language:	English
Published:	Texas State University 2016-12-01
Subjects:	Partial continuity elliptic system non-standard growth variable exponent
Online Access:	http://ejde.math.txstate.edu/Volumes/2016/323/abstr.html