Harnack inequality for a class of functionals with non-standard growth via De Giorgi’s method

Harnack inequality for a class of functionals with non-standard growth via De Giorgi’s method

We study the regularity theory of quasi-minimizers of functionals with Lp⁢(⋅)⁢log⁡L{L^{p(\,\cdot\,)}\log L}-growth. In particular, we prove the Harnack inequality and, in addition, the local boundedness and the Hölder continuity of the quasi-minimizers. We directly prove our results via De Giorgi’s...

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Bibliographic Details
Main Author: Ok Jihoon
Format: Article
Language:English
Published: De Gruyter 2018-05-01
Series:Advances in Nonlinear Analysis
Subjects:
non-standard growth
quasi-minimizer
hölder continuity
harnack inequality, variable exponent
35j92
35j20
35b65
Online Access:https://doi.org/10.1515/anona-2016-0083

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