洛伦兹积空间中带强迫项的平均曲率流的类空间平移孤子：不存在性、平均凸性、刚性和Calabi-Bernstein型结果

IF 1.2 3区数学 Q1 MATHEMATICS Journal of Mathematical Analysis and Applications Pub Date : 2025-05-15 Epub Date: 2025-01-15 DOI:10.1016/j.jmaa.2025.129258

Márcio Batista, Pedro Carvalho, Matheus B. Martins

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引用次数: 0

摘要

本文研究了洛伦兹积空间中具有恒定力项的平均曲率流的类空间平移孤子。利用极大值原理和liouville型结果，导出了一系列不存在性结果。在适当的假设下，我们建立了平均凸性，一些刚性结果，以及在非参数环境下的应用。

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Spacelike translating solitons of mean curvature flow with forcing term in Lorentzian product spaces: Nonexistence, mean convexity, rigidity and Calabi-Bernstein type results

In this paper, we investigate spacelike translating solitons of mean curvature flow with a constant force term in a Lorentzian product space. By applying maximum principles and Liouville-type results, we derive a series of nonexistence results. Under suitable assumptions, we establish the mean convexity property, some rigidity results, and applications in the non-parametric setting.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.