具有低阶余项的扭曲尖锐Sobolev不等式的极值函数

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-02-01 DOI:10.1016/j.na.2025.113758

Olivier Druet , Emmanuel Hebey

引用次数: 0

摘要

证明了具有低阶余项的扭曲尖锐四维Sobolev不等式的极值函数的存在性和极值函数集的紧性。

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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Extremal functions for twisted sharp Sobolev inequalities with lower order remainder terms

We prove existence of extremal functions and compactness of the set of extremal functions for twisted sharp 4-dimensional Sobolev inequalities with lower order remainder terms.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.