Scholarlink

<p>In this paper, we consider a class of fully nonlinear equation, namely Hessian quotient equation, associated with the <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(L_p\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation> Minkowski type problem in hyperbolic space. We establish the existence of a uniformly <i>h</i>-convex solution when the prescribed function are under some appropriate assumption by using the full rank theorem for the Hessian quotient equation.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The \(L_p\) Minkowski Type Problem for Hessian Quotient Equations in Hyperbolic Space

  • 期刊论文

  • 发表日期：

    2026年3月14日

查看全文
  • Yating Lei,
  • Lu Xu,
  • Yutian Zhou

摘要

In this paper, we consider a class of fully nonlinear equation, namely Hessian quotient equation, associated with the \(L_p\) L p Minkowski type problem in hyperbolic space. We establish the existence of a uniformly h-convex solution when the prescribed function are under some appropriate assumption by using the full rank theorem for the Hessian quotient equation.