Two-dimensional variational problems with a wide range of anisotropy

被引：0
|
作者：
Fuchs M. [1 ]
机构：
[1] Universität des Saarlandes, Fachbereich 6.1 Mathematik, D-66041 Saarbrücken
来源：
Journal of Mathematical Sciences | 2011年 / 175卷 / 3期
关键词：
High Integrability; Partial Regularity; Sobolev Embedding Theorem; Liouville Type Theorem; Nonstandard Growth;
D O I：
10.1007/s10958-011-0352-4
中图分类号：
学科分类号：
摘要：
We consider local minimizers u:ℝ2M of the variational integral with density H growing at least quadratically and allowing a very large scale of anisotropy. We discuss higher integrability properties of ∇u and the differentiability of u in the classical sense. A Liouville type theorem is also established. Bibliography: 25 titles. © 2011 Springer Science+Business Media, Inc.
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页码：375 / 389
页数：14
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