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一类积分函数的正则性

IF 0.8 3区 数学 Q2 MATHEMATICS
Mathematische Nachrichten Pub Date : 2024-06-30 DOI:10.1002/mana.202300138
Li Shuoyang, Gao Meng, Gao Hongya
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引用次数: 0

摘要

本文论述了具有分裂结构形式的变分积分的正则性质，其中 , 是阶为 , 的副矩阵，而 , , , 是满足适当结构条件的卡拉瑟奥多里函数。本文推导了局部最小值的局部可积分性、局部有界性和局部荷尔德连续性。
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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Regularity for a class of integral functionals

This paper deals with regularity properties for variational integrals with the splitting structure of the form

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来源期刊
Mathematische Nachrichten
Mathematische Nachrichten 数学-数学
CiteScore
1.50
自引率
0.00%
发文量
157
审稿时长
4-8 weeks
期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index
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