Jihoon Ok
Abstract:
We study partial Holder continuity of weak solutions to elliptic systems
with variable non-standard growth, which are related to the function
.
We prove that weak solutions are Holder
continuous for any Holder exponent, except Lebesgue measure zero sets,
if systems satisfy certain continuity assumptions.
In particular, the variable exponent functions p(.) are assumed to satisfy
so-called vanishing log-Holder continuity.
Submitted October 24, 2016. Published December 20, 2016.
Math Subject Classifications: 35B65, 35J60.
Key Words: Partial continuity; elliptic system; non-standard growth;
variable exponent.
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Jihoon Ok School of Mathematics Korea Institute for Advanced Study Seoul 02455, Korea email: jihoonok@kias.re.kr |
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