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 …

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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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 …

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 employ curvature flows without global terms to seek strictly convex, spacelike solutions
of a broad class of elliptic prescribed curvature equations in the simply connected …

In this article, we consider a class of prescribed Weingarten curvature equations. Under
some sufficient conditions, we obtain an existence result by the standard degree theory …

In this note, we prove the existence of one particular class of starshaped compact
hypersurfaces, by deriving global curvature estimates for such hypersurfaces; this …

In this paper we consider the problem of finding closed hypersurfaces with prescribed
Weingarten curvature in a large class of Riemannian manifolds. Under some sufficient …

arXiv:2003.14234v1 [math.AP] 30 Mar 2020 Page 1 arXiv:2003.14234v1 [math.AP] 30 Mar
2020 NOTES ON THE CURVATURE ESTIMATES FOR HESSIAN EQUATIONS CHANGYU …