Generalized superharmonic functions with strongly nonlinear operator
Analysis of PDEs
2020-06-26 v2
Abstract
We study properties of -harmonic and -superharmonic functions involving an operator having generalized Orlicz-growth embracing besides Orlicz case also natural ranges of variable exponent and double-phase cases. In particular, Harnack's Principle and Minimum Principle are provided for -superharmonic functions and boundary Harnack inequality is proven for -harmonic functions.
Cite
@article{arxiv.2005.00118,
title = {Generalized superharmonic functions with strongly nonlinear operator},
author = {Iwona Chlebicka and Anna Zatorska-Goldstein},
journal= {arXiv preprint arXiv:2005.00118},
year = {2020}
}