Corank 1 奇异极值的高阶 Goh 条件

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials 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。

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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

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464