A local boundedness result for a class of obstacle problems with non-standard growth conditions
Analysis of PDEs
2022-03-01 v1
Abstract
We prove the local boundedness for solutions to a class of obstacle problems with non-standard growth conditions. The novelty here is that we are able to establish the local boundedness under a sharp bound on the gap between the growth exponents.
Cite
@article{arxiv.2202.13102,
title = {A local boundedness result for a class of obstacle problems with non-standard growth conditions},
author = {Mariapia De Rosa and Antonio Giuseppe Grimaldi},
journal= {arXiv preprint arXiv:2202.13102},
year = {2022}
}