In this article, we introduce a new type of mean curvature flow for bounded star-shaped
domains in space forms and prove its longtime existence, exponential convergence without …

The global curvature estimate for the $$n-2$$ Hessian equation | Calculus of Variations and
Partial Differential Equations Skip to main content SpringerLink Account Menu Find a journal …

A note on star-shaped compact hypersurfaces with prescribed scalar curvature in space forms
Page 1 Rev. Mat. Iberoam. 33 (2017), no. 2, 547–554 doi 10.4171/rmi/948 c European …

Given a compact Riemannian manifold M, we consider a warped product manifold ̄ M= I *
_h MM¯= I× h M, where I is an open interval in R R. For a positive function ψ ψ defined on ̄ …

A class of Hessian quotient equations in Euclidean space - ScienceDirect Skip to main
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arXiv:math/0505134v1 [math.AP] 8 May 2005 Page 1 arXiv:math/0505134v1 [math.AP] 8 May
2005 STARSHAPED COMPACT HYPERSURFACES WITH PRESCRIBED m−TH MEAN …

We derive global curvature estimates for closed, strictly star-shaped (n-2)-convex
hypersurfaces in warped product manifolds, which satisfy the prescribed (n-2)-curvature …

In this paper, we consider a large class of expanding flows of closed, smooth, star-shaped
hypersurface in Euclidean space $\mathbb {R}^{n+ 1} $ with speed $\psi u^\alpha\rho^\delta …

The primary objectives of this paper can be categorized into two main aspects. First, we
investigate the existence of a closed hypersurface in Euclidean space with prescribed mixed …

We consider the problem of nding a compact starshaped hypresurface in a space form for
which the normalized m-th elementary symmetric function of principal curvatures is a …