Regularity for multi-phase problems at nearly linear growth

被引：3
作者：
De Filippis, Filomena [1 ]
Piccinini, Mirco [1 ]
机构：
[1] Univ Parma, Dipartimento Sci Matematiche Fis & Informat, Parco Area Sci 53-A Campus, I-43124 Parma, Italy
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 410卷
关键词：
Regularity; Nonuniform ellipticity; Nearly linear growth; VARIATIONAL INTEGRALS; MINIMIZERS; FUNCTIONALS; GRADIENT; MINIMA;
D O I：
10.1016/j.jde.2024.08.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Minima of the log-multiphase variational integral w bar right arrow integral(Omega) [vertical bar Dw| log(1 + vertical bar Dw vertical bar) + a(x)vertical bar Dw vertical bar(q) + b(x)vertical bar Dw vertical bar(s)] dx, have locally Holder continuous gradient under sharp quantitative bounds linking the growth powers (q, s) to the Holder exponents of the modulating coefficients a(center dot) and b(center dot) respectively. (c) 2024 The Authors. Published by Elsevier Inc.
引用
收藏
页码：832 / 868
页数：37
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