期刊
MONATSHEFTE FUR MATHEMATIK
卷 200, 期 2, 页码 271-300出版社
SPRINGER WIEN
DOI: 10.1007/s00605-022-01763-5
关键词
Everywhere regularity; Holder continuity; Vectorial; Minimizer; Variational; Integral
类别
This paper studies the everywhere Holder continuity of the minima of a class of vectorial integral functionals. By analyzing the properties of each component, the regularity of the minima and the Holder continuity are obtained.
In this paper we study the everywhere Holder continuity of theminima of the following class of vectorial integral functionals integral(Omega) Sigma(n)(alpha=1) f(alpha)(x, u(alpha), del u(alpha)) + G (x, u, del u) dx The energy densities satisfy suitable structure assumptions and may have neither radial nor quasi-diagonal structure. The regularity of minimizers is obtained by proving that each component stays in a suitable De Giorgi class and, from this, we conclude about the Holder continuity.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据