A Class of Hessian quotient equations in Euclidean space
Xiaojuan Chen, Qiang Tu, Ni Xiang
TL;DR
This paper studies a specific class of Hessian quotient equations in Euclidean space, establishing existence results under certain conditions using degree theory and a priori estimates.
Contribution
It introduces new existence results for Hessian quotient equations in Euclidean space based on degree theory and a priori estimates.
Findings
Existence of solutions under certain conditions.
Application of degree theory to Hessian quotient equations.
Development of a priori estimates for solutions.
Abstract
In this paper, we consider a Class of Hessian quotient equations in Euclidean space. Under some sufficient condition, we obtain an existence result by the standard degree theory based on the a prior estimates for the solutions to the Hessian quotient equations.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering