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(⋅)logL{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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| Format: | Article |
| Language: | English |
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De Gruyter
2018-05-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2016-0083 |