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arXiv · 2206.15330

Borderline global regularity for nonuniformly elliptic systems

Cristiana De Filippis·Mirco Piccinini
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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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Cristiana De Filippis, Mirco Piccinini. 2022-06-30. Borderline global regularity for nonuniformly elliptic systems. https://arxiv.org/abs/2206.15330

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