A note on gradient estimates for elliptic equations with discontinuous coefficients

DOI10.1007/s11401-024-0001-0OpenAlexW4391660528MaRDI QIDQ6194040

Yu Peng, Xiandong Sun, Hui-Chun Zhang

Publication date: 14 February 2024

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-024-0001-0

zbMATH Keywords

discontinuous coefficientselliptic equation\(L^p\) gradient estimate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15)

Cites Work

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• The Dini condition and regularity of weak solutions of elliptic equations
• An elementary method in the study of nonnegative curvature
• Differentiability of Lipschitz functions on metric measure spaces
• Parallel transportation for Alexandrov space with curvature bounded below
• Yau's gradient estimates on Alexandrov spaces
• Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
• Elliptic equations with BMO coefficients in Reifenberg domains
• A.D. Alexandrov spaces with curvature bounded below

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