负曲率黎曼流形上的一类全非线性方程

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-06-29 DOI:10.1007/s00526-024-02756-y

Li Chen, Yan He

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引用次数: 0

摘要

在本文中，我们考虑了一类负曲率黎曼流形上的全非线性方程，这些方程自然出现在共形几何中。此外，我们还证明了这些方程解的先验估计，并建立了存在性结果。我们的结果可以看作是 Gursky-Viaclovsky 和李胜之前结果的扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A class of fully nonlinear equations on Riemannian manifolds with negative curvature

In this paper, we consider a class of fully nonlinear equations on Riemannian manifolds with negative curvature which naturally arise in conformal geometry. Moreover, we prove the a priori estimates for solutions to these equations and establish the existence results. Our results can be viewed as an extension of previous results given by Gursky–Viaclovsky and Li–Sheng.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464