Regularity results for minimizers of (2, q)-growth functionals in the Heisenberg Group

被引：1
|
作者：
Foeglein, Anna [1 ]
机构：
[1] Univ Regensburg, NWF I Math, D-93040 Regensburg, Germany
来源：
MANUSCRIPTA MATHEMATICA | 2010年 / 133卷 / 1-2期
关键词：
QUASI-LINEAR EQUATIONS; ELLIPTIC-EQUATIONS; INTEGRAL FUNCTIONALS; INEQUALITY; CALCULUS; SPACES;
D O I：
10.1007/s00229-010-0366-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider integral functionals in the Heisenberg group, whose convex C-2-integrand has quadratic growth from below, and growth of order q > 2 from above. We prove Holder regularity for the full gradient of minimizers under the condition that q is less than an explicitly calculated dimension-dependent bound.
引用
收藏
页码：131 / 172
页数：42
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