In this paper, we first introduce quermassintegrals for capillary hypersurfaces in the half-
space. Then we solve the related isoperimetric type problems for the convex capillary …

In this article, we investigate a flow of inverse mean curvature type for capillary
hypersurfaces in the half-space. We establish the global existence of solutions for this flow …

For a function f which foliates a one-sided neighbourhood of a closed hypersurface M, we
give an estimate of the distance of M to a Wulff shape in terms of the L p-norm of the …

In this paper, we introduce an anisotropic geometric quantity W p, q; k which involves the
weighted integral of k-th elementary symmetric function. We first show the monotonicity of W …

This paper will deal with a locally constrained inverse curvature flow which keeps the
convexity and preserves the enclosed area of the evolving curve, and the limiting curve …

We study the anisotropic analogue of Guan-Li's volume-preserving mean curvature type flow
in Euclidean space. The main result is that, starting from any smooth, closed, and star …

Inverse Anisotropic Curvature Flow from Convex Hypersurfaces | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

Given a smooth positive function F∈ C∞(S n) such that the square of its positive 1-
homogeneous extension on R n+ 1∖{0} is uniformly convex, the Wulff shape WF is a smooth …

Two overdetermined problems for anisotropic $p$-Laplacian$ Page 1 http://www.aimspress.com/journal/mine
Mathematics in Engineering, 4(2): 1–18. DOI:10.3934/mine.2022015 Received: 26 January …

In this paper, we present the proofs for several geometric inequalities using the Alexandrov-
Bakelman-Pucci (ABP) estimate on Riemannian manifolds. First, we give new proofs of the …