5 papers
Capillary Orlicz-Minkowski flow in the upper half-space
Guanghan Li, Chenyang Liu
In this paper, we study the long-time existence and asymptotic behavior of an anisotropic capillary Gauss curvature flow. By studying this flow and proving its convergence to a sta…
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…
Semantic Convergence: Harmonizing Recommender Systems via Two-Stage Alignment and Behavioral Semantic Tokenization
Guanghan Li, Xun Zhang, Yufei Zhang +3
Large language models (LLMs), endowed with exceptional reasoning capabilities, are adept at discerning profound user interests from historical behaviors, thereby presenting a promi…