Regularity for multi-phase variational problems

被引：69
|
作者：
De Filippis, Cristiana [1 ]
Oh, Jehan [2 ]
机构：
[1] Univ Oxford, Math Inst, Radcliffe Observ Quarter, Andrew Wiles Bldg,Woodstock Rd, Oxford OX26GG, England
[2] Univ Bielefeld, Fak Math, Postfach 100131, D-33501 Bielefeld, Germany
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 03期
关键词：
Regularity; Non-uniformly elliptic problems; Minimizer; Multi-phase; ELLIPTIC-EQUATIONS; HOLDER REGULARITY; MINIMIZERS; FUNCTIONALS; SYSTEMS; MINIMA;
D O I：
10.1016/j.jde.2019.02.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove C-1,C-nu -regularity for local minimizers of the multi-phase energy: w bar right arrow integral(Omega)vertical bar Dw vertical bar(p)+a(x)vertical bar Dw vertical bar(q)+b(x)vertical bar Dw vertical bar(s)dx, under sharp assumptions relating the couples (p, q) and (p, s) to the Holder exponents of the modulating coefficients a(.) and b(.), respectively. (C) 2019 Elsevier Inc. All rights reserved.
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页码：1631 / 1670
页数：40
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