Functional Analysis. - A local surjection theorem with continuous inverse in Banach spaces

被引：0

作者：

Ekeland, Ivar ^{[1
]}

Sere, Eric ^{[1
]}

机构：

[1] Univ Paris Dauphine PSL, Pl Marechal Lattre de Tassigny, F-75016 Paris, France

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2024年 / 35卷 / 01期

关键词：

Inverse function theorem; Nash-Moser; loss of derivatives; Ekeland's variational principle;

D O I：

10.4171/RLM/1028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a local surjection theorem with continuous right-inverse for maps between Banach spaces, and we apply it to a class of inversion problems with loss of derivatives.

引用

页码：1 / 15

页数：15

共 50 条

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