Bounded Minimisers of Double Phase Variational Integrals

被引：401
作者：
Colombo, Maria [1 ]
Mingione, Giuseppe [2 ]
机构：
[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[2] Univ Parma, Dipartimento Matemat & Informat, I-43124 Parma, Italy
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2015年 / 218卷 / 01期
关键词：
ELLIPTIC-EQUATIONS; SINGULAR SET; REGULARITY; FUNCTIONALS; APPROXIMATION; INTEGRABILITY; RELAXATION; EXISTENCE; GRADIENT; MINIMA;
D O I：
10.1007/s00205-015-0859-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bounded minimisers of the functional w ->integral(broken vertical bar Dw(p) + a(x)broken vertical bar Dw broken vertical bar(q)) dx where and , are -regular provided the sharp bound holds.
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收藏
页码：219 / 273
页数：55
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