The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
Analysis of PDEs
2021-05-27 v2
Abstract
We study unbounded weak supersolutions of elliptic partial differential equations with generalized Orlicz (Musielak--Orlicz) growth. We show that they satisfy the weak Harnack inequality with optimal exponent provided that they belong to a suitable Lebesgue or Sobolev space. Furthermore, we establish the sharpness of our central assumptions.
Keywords
Cite
@article{arxiv.2006.06276,
title = {The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth},
author = {Allami Benyaiche and Petteri Harjulehto and Peter Hästö and Arttu Karppinen},
journal= {arXiv preprint arXiv:2006.06276},
year = {2021}
}