The rigidity and stability of gradient estimates

DOI10.1007/s12220-022-01022-xzbMath1497.35073arXiv2208.02944OpenAlexW4294904475WikidataQ114220943 ScholiaQ114220943MaRDI QIDQ2172431

Qixuan Hu, Chengjie Yu, Guoyi Xu

Publication date: 15 September 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.02944

zbMATH Keywords

Dirichlet Green's functionspositive harmonic functions, surfaces with non-negative Gaussian curvatureRiemannian manifolds with non-negative Ricci curvature

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Green's functions for elliptic equations (35J08) PDEs on manifolds (35R01)

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