水平集的结构和Lipschitz映射的sard型性质

IF 1.2 2区数学 Q1 MATHEMATICS

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2013-01-01 DOI:10.2422/2036-2145.201107_006

G. Alberti, S. Bianchini, Gianluca Crippa

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引用次数: 84

摘要

考虑了从R d到R d1的C 2类映射严格与Sard定理相关的某些性质，并证明了其中一些性质可以推广到Lipschitz映射，而另一些则需要一些附加的正则性。我们还给出了一些例子，表明就规律性而言，我们的结果是最优的。

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Structure of level sets and Sard-type properties of Lipschitz maps

We consider certain properties of maps of class C 2 from R d to R d 1 that are strictly related to Sard's theorem, and show that some of them can be extended to Lipschitz maps, while others still require some additional regularity. We also give examples showing that, in term of regularity, our results are optimal.

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来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24