Regularity for Double Phase Problems at Nearly Linear Growth

被引：21
|
作者：
De Filippis, Cristiana [1 ]
Mingione, Giuseppe [1 ]
机构：
[1] Univ Parma, Dipartimento SMFI, Parco Area Sci 53-A, I-43124 Parma, Italy
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2023年 / 247卷 / 05期
关键词：
VARIATIONAL INTEGRALS; CONVEX FUNCTIONALS; MULTIPLE INTEGRALS; ELLIPTIC-EQUATIONS; MINIMIZERS; RELAXATION; DIRICHLET; MINIMA; BOUNDS;
D O I：
10.1007/s00205-023-01907-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Minima of functionals of the type w . integral Omega[ |Dw| log(1 + |Dw|) + a(x)|Dw|(q) ] dx, 0 <= a(center dot). is an element of C-0,C-alpha, with Omega.subset of R-n, have locally Holder continuous gradient provided 1 < q < 1+ alpha/n.
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页数：50
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