一类复Hessian方程在厄米流形上的先验估计

IF 0.9 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2025-10-21 DOI:10.1007/s10231-025-01625-5

Pang Xu, Xin-An Ren

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引用次数: 0

摘要

本文研究了一类左手边依赖于厄米流形梯度的复Hessian方程，并给出了其可容许解的先验二阶估计。这种估计形式与侯马武关于Kähler流形的估计形式相似，可以应用于爆破分析。

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 priori estimates for a class of complex Hessian equations on Hermitian manifolds

In this paper, we study a class of complex Hessian equations with left-hand sides depending on gradients on Hermitian manifolds and derive a priori second order estimates for admissible solutions. This form of estimates shares a similar form to the one developed by Hou–Ma–Wu on Kähler manifolds and can be applied to blowup analysis.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.