A class of Hessian quotient equations in the warped product manifold

2021/05/25 by Chen, Xiaojuan, Tu, Qiang, Xiang, Ni · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C45 #Secondary 35J60

paper · doi:10.48550/arxiv.2105.12047

Abstract

In this paper, we consider a class of Hessian quotient equations in the warped product manifold M=I×_λM. Under some sufficient conditions, we obtain an existence result for the star-shaped compact hypersurface Σ in M using standard degree theory based on a priori estimates for solutions to the Hessian quotient equations.

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