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math.AP2013★ 2 cited
Local gradient estimate for harmonic functions on Finsler manifolds
Chao Xia
In this paper, we prove the local gradient estimate for harmonic functions on complete, noncompact Finsler measure spaces under the condition that the weighted Ricci curvature has…
math.AP2013★ 23 cited
Harmonic functions on metric measure spaces
Bobo Hua, Martin Kell, Chao Xia
In this paper, we study harmonic functions on metric measure spaces with Riemannian Ricci curvature bounded from below, which were introduced by Ambrosio-Gigli-Savaré. We prove a C…