两球间α-调和映射的一个间隙定理

IF 1.9 1区数学 Q1 MATHEMATICS

Analysis & PDE Pub Date : 2019-03-25 DOI:10.2140/apde.2021.14.881

T. Lamm, A. Malchiodi, M. Micallef

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引用次数: 4

摘要

在本文中，我们考虑从$S^2到$S^2的映射的谐波能量的近似值。我们在[6]中继续分析具有一致有界能量的$\alpha$-调和映射的极限。利用[7]中最近的一个能量恒等式，我们得到了阶为$-1、0$或$1$的$\alpha$-调和映射的最优间隙定理。

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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A gap theorem for α-harmonic maps between two-spheres

In this paper we consider approximations a la Sacks-Uhlenbeck of the harmonic energy for maps from $S^2$ into $S^2$. We continue the analysis in [6] about limits of $\alpha$-harmonic maps with uniformly bounded energy. Using a recent energy identity in [7], we obtain an optimal gap theorem for the $\alpha$-harmonic maps of degree $-1, 0$ or $1$.

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来源期刊

Analysis & PDE MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： APDE aims to be the leading specialized scholarly publication in mathematical analysis. The full editorial board votes on all articles, accounting for the journal’s exceptionally high standard and ensuring its broad profile.