English

Wolff potential estimates for supersolutions of equations with generalized Orlicz growth

Analysis of PDEs 2020-11-12 v2

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 H\"older continuity.

Keywords

Cite

@article{arxiv.2009.04257,
  title  = {Wolff potential estimates for supersolutions of equations with generalized Orlicz growth},
  author = {Allami Benyaiche and Ismail Khlifi},
  journal= {arXiv preprint arXiv:2009.04257},
  year   = {2020}
}