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arXiv:2304.04499 [math.AP]AbstractReferencesReviewsResources

A note on the weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth

Mariia O. Savchenko, Igor I. Skrypnik, Yevgeniia A. Yevgenieva

Published 2023-04-10Version 1

We prove the weak Harnack inequality for the functions $u$ which belong to the corresponding De Giorgi classes $DG^{-}(\Omega)$ under the additional assumption that $u\in L^{s}_{loc}(\Omega)$ with some $s> 0$. In particular, our result covers new cases of functionals with a variable exponent or double-phase functionals under the non-logarithmic condition.

Categories: math.AP
Subjects: 35B40, 35B45, 35B65
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