Jinyu Gao

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20242026

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math.FA2026

The Hölder regularity of harmonic function on bounded and unbounded p.c.f self-similar sets

Jin Gao, Yijun Song

In this paper, we prove a generalized reverse Hölder inequality of harmonic functions on cable systems induced by post-critically finite (p.c.f.) self-similar sets. Furthermore, we…

math.DG2026

The Anisotropic Capillary $L_{p}$ -Minkowski Problem

Shanwei Ding, Jinyu Gao, Guanghan Li +1

This paper introduces the \textit{anisotropic $ω_{0}$ -capillary $p$ -sum} of two hypersurfaces in $R_{+}^{n + 1}$ , and establishes a theory for anisotropic capillary convex bodie…

The Hölder regularity of harmonic function on bounded and unbounded p.c.f self-similar sets

The Anisotropic Capillary Lp​-Minkowski Problem

The Anisotropic Capillary $L_{p}$ -Minkowski Problem