Scholarlink

<p>In this paper we propose some inequalities in an attempt to explore the structure of a class of fully nonlinear equations. As an application, we solve some Krylov-type equations on closed Riemannian manifolds of <i>quasi-admissibility</i>. Notably, without topological obstruction, we may construct some metrics with prescribed curvature functions. The method and inequalities developed here should be useful to deal with other fully nonlinear equations of elliptic and parabolic type.</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

Existence of Conformal Metrics with Prescribed Curvature-Functions of Krylov Type

  • 期刊论文

  • 发表日期：

    2026年4月10日

查看全文
  • Rirong Yuan

摘要

In this paper we propose some inequalities in an attempt to explore the structure of a class of fully nonlinear equations. As an application, we solve some Krylov-type equations on closed Riemannian manifolds of quasi-admissibility. Notably, without topological obstruction, we may construct some metrics with prescribed curvature functions. The method and inequalities developed here should be useful to deal with other fully nonlinear equations of elliptic and parabolic type.