海森堡群上超线性抛物方程的柳维尔定理

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2024-03-01 DOI:10.1515/ans-2023-0119

Juncheng Wei, Ke Wu

引用次数: 0

摘要

我们考虑了海森堡群上的抛物线非线性方程。应用 Gidas-Spruck 型估计，我们证明在合适的条件下，方程没有正解。作为不存在结果的应用，我们提供了正解的最优普遍估计。

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 Liouville theorem for superlinear parabolic equations on the Heisenberg group

We consider a parabolic nonlinear equation on the Heisenberg group. Applying the Gidas–Spruck type estimates, we prove that under suitable conditions, the equation does not have positive solutions. As an application of the nonexistence result, we provide optimal universal estimates for positive solutions.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.