English

Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth

Analysis of PDEs 2020-08-11 v1

Abstract

We prove Harnack's inequality for bounded weak solutions to quasilinear second order elliptic equations with generalized Orlicz growth conditions. Our approach covers new cases of variable exponent and (p,q) growth conditions.

Keywords

Cite

@article{arxiv.2008.03744,
  title  = {Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth},
  author = {M. A. Shan and I. I. Skrypnik and M. V. Voitovych},
  journal= {arXiv preprint arXiv:2008.03744},
  year   = {2020}
}