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math.AP2025
The capillary Christoffel-Minkowski problem
Xinqun Mei, Guofang Wang, Liangjun Weng
In this article, we introduce a -th capillary area measure for capillary convex bodies in the Euclidean half-space, which serves as a boundary counterpart to the classical conce…
math.AP2024
Prescribed quotient curvature problem and related eigenvalue problem
Xinqun Mei, Guofang Wang, Liangjun Weng
In this paper, we investigate the existence of admissible (and strictly convex) smooth solutions to the prescribed quotient type curvature problem with . For cases where…