Partial Regularity for Degenerate Variational Problems and Image Restoration Models in BV

被引：11
作者：
Schmidt, Thomas [1 ,2 ,3 ]
机构：
[1] Univ Erlangen Nurnberg, Dept Math, D-91058 Erlangen, Germany
[2] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland
[3] SNS Pisa, I-56126 Pisa, Italy
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2014年 / 63卷 / 01期
基金：
欧洲研究理事会;
关键词：
BOUNDARY-REGULARITY; MINIMIZERS; FUNCTIONALS; MINIMIZATION; INTEGRALS; INTERIOR; SYSTEMS;
D O I：
10.1512/iumj.2014.63.5174
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish partial and local C-1,C-alpha-regularity results for vectorial almost-minimizers of convex variational integrals in BV. In particular, we investigate cases with a degenerate or singular behavior of p-Laplace type, and we cover (local) minimizers of the exemplary integrals integral(Omega) (1 + vertical bar del w vertical bar (p))(1/p) dx with 1 < p < infinity. We also treat some related models with lower-order terms, which are motivated by image restoration.
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页码：213 / 279
页数：67
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