Corank 1 奇异极值的高阶 Goh 条件

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2024-03-22 DOI:10.1007/s00205-024-01964-2

Francesco Boarotto, Roberto Monti, Alessandro Socionovo

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引用次数: 0

摘要

我们证明了角 1 的严格奇异长度最小化曲线的阶（n\geqq 3\）Goh 条件，其假设条件是第 n 个本征微分的域是有限编码维的。这一结果依赖于对具有正则 n 次微分的映射的开放映射定理的证明。

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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Higher Order Goh Conditions for Singular Extremals of Corank 1

We prove Goh conditions of order \(n\geqq 3\) for strictly singular length-minimizing curves of corank 1, under the assumption that the domain of the nth instrinsic differential is of finite codimension. This result relies upon the proof of an open mapping theorem for maps with a regular nth differential.

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.