Wolff potential estimates for supersolutions of equations with generalized Orlicz growth

2020/09/09 by Benyaiche, Allami, Khlifi, Ismail
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.04257

Abstract

In this paper, we establish pointwise estimates for supersolutions of quasilinear elliptic equations with structural conditions involving a generalized Orlicz growth in terms of a Wolff type potential. As a consequence, under the extra assumption, we obtain that the supersolutions satisfy a Harnack inequality and local Hölder continuity.

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