Stability of solutions to obstacle problems with generalized Orlicz growth
Analysis of PDEs
2022-03-28 v1
Abstract
We consider nonlinear equations having generalized Orlicz growth (also known as Musielak--Orlicz growth). We prove that if differential operators converge locally uniformly to an operator , then the sequence of solutions has a subsequence converging to solution of the limit operator in Sobolev and H\"older norms.
Keywords
Cite
@article{arxiv.2203.13624,
title = {Stability of solutions to obstacle problems with generalized Orlicz growth},
author = {Petteri Harjulehto and Arttu Karppinen},
journal= {arXiv preprint arXiv:2203.13624},
year = {2022}
}