5 papers
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, w…
The Anisotropic Capillary -Minkowski Problem
Shanwei Ding, Jinyu Gao, Guanghan Li +1
This paper introduces the \textit{anisotropic -capillary -sum} of two hypersurfaces in , and establishes a theory for anisotropic capillary convex bodi…
Alexandrov-Fenchel inequalities for convex anisotropic capillary hypersurfaces in the half-space
Jinyu Gao, Guanghan Li
In this paper, the results of Mei, Wang, Weng and Xia [Math. Z., 2025, MR4911815] on capillary convex bodies are extended to the anisotropic setting. We develop a theory for anisot…
Generalized Minkowski formulas and rigidity results for anisotropic capillary hypersurfaces
Jinyu Gao, Guanghan Li
In this paper, we obtain a new Hsiung-Minkowski integral formula for anisotropic capillary hypersurfaces in the half-space, which includes the weighted Hsiung-Minkowski formula and…
Anisotropic mean curvature type flow and capillary Alexandrov-Fenchel inequalities
Shanwei Ding, Jinyu Gao, Guanghan Li
In this paper, an anisotropic volume-preserving mean curvature type flow for star-shaped anisotropic -capillary hypersurfaces in the half-space is studied, and the long-time…