A Heat Flow with Nonzero Potential for a Critical Trudinger-Moser Functional

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2026-07-15 DOI:10.1007/s10255-024-1082-y

Peng-xiu Yu

引用次数: 0

Abstract

Let Ω ⊂ ℝ² be a smooth bounded domain and H ⁰₁ (Ω) be the standard Sobolev space consisting of functions which vanish on ∂Ω and whose gradient is in L²(Ω). In this paper, we investigate critical points of the Trudinger-Moser functional by a heat flow. Our method is based on blow-up analysis, relying on integral estimates.

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临界Trudinger-Moser泛函的非零势热流

设Ω∧∈2是一个光滑有界域，h1 （Ω）是由在∂Ω上消失且梯度在L2（Ω）上的函数组成的标准Sobolev空间。本文利用热流研究了Trudinger-Moser泛函的临界点。我们的方法是基于放大分析，依赖于积分估计。

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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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.