具有孤立 Schoen-Wolfson 圆锥奇点的哈密顿静止面的变分构造

IF 3.1 1区数学 Q1 MATHEMATICS

Communications on Pure and Applied Mathematics Pub Date : 2024-06-07 DOI:10.1002/cpa.22220

Filippo Gaia, Gerard Orriols, Tristan Rivière

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引用次数: 0

摘要

我们利用变分法构建了具有孤立肖恩-沃尔夫森圆锥奇点的哈密顿静止曲面。我们通过一个收敛过程来获得这些表面，这个过程让人联想到 Bethuel、Brezis 和 Hélein 提出的强排斥机制中的金兹堡-兰道渐近分析。我们特别描述了舍恩-沃尔夫森锥奇点的处方与最佳温特常数之间的关系。

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A variational construction of Hamiltonian stationary surfaces with isolated Schoen–Wolfson conical singularities

We construct using variational methods Hamiltonian stationary surfaces with isolated Schoen–Wolfson conical singularities. We obtain these surfaces through a convergence process reminiscent to the Ginzburg–Landau asymptotic analysis in the strongly repulsive regime introduced by Bethuel, Brezis and Hélein. We describe in particular how the prescription of Schoen–Wolfson conical singularities is related to optimal Wente constants.

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来源期刊

Communications on Pure and Applied Mathematics 数学-数学

CiteScore

6.70

自引率

3.30%

发文量

审稿时长

>12 weeks

期刊介绍： Communications on Pure and Applied Mathematics (ISSN 0010-3640) is published monthly, one volume per year, by John Wiley & Sons, Inc. © 2019. The journal primarily publishes papers originating at or solicited by the Courant Institute of Mathematical Sciences. It features recent developments in applied mathematics, mathematical physics, and mathematical analysis. The topics include partial differential equations, computer science, and applied mathematics. CPAM is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included.