Borderline global regularity for nonuniformly elliptic systems
Analysis of PDEs
2022-07-01 v1
Abstract
We establish sharp global regularity results for solutions to nonhomogeneous, nonunifomrly elliptic systems with zero boundary conditions. In particular, we obtain everywhere Lipschitz continuity under borderline Lorentz assumptions on the forcing term, thus positively settling the optimality issue raised in \cite{bdms}.
Keywords
Cite
@article{arxiv.2206.15330,
title = {Borderline global regularity for nonuniformly elliptic systems},
author = {Cristiana De Filippis and Mirco Piccinini},
journal= {arXiv preprint arXiv:2206.15330},
year = {2022}
}