On existence for some fully nonlinear equations of Krylov-type arising in conformal geometry

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2024-11-12 DOI:10.1016/j.na.2024.113709

Ya Ding, Yan He, Jun Liu

引用次数: 0

Abstract

This paper considers a class of fully nonlinear equations on Riemannian manifolds that arise in conformal geometry. Based on the a priori estimates and the blow-up analysis, we obtain the existence theorems for these equations.

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论保角几何中出现的一些克雷洛夫型全非线性方程的存在性

本文研究了共形几何中出现的一类黎曼流形上的全非线性方程。基于先验估计和吹胀分析，我们得到了这些方程的存在性定理。

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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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.