Published Paper

Inserted: 16 jan 2023
Last Updated: 7 jan 2025

Journal: Int. Math. Res. Not.
Year: 2022
Doi: https://doi.org/10.1093/imrn/rnac283

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}.

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• DeFilippis-Piccinini_Arxiv.pdf