Borderline Lipschitz regularity for bounded minimizers of functionals with (p, q)-growth

被引：1
|
作者：
Adimurthi, Karthik [1 ]
Tewary, Vivek [1 ]
机构：
[1] Tata Inst Fundamental Res, Ctr Applicable Math, Bangalore 560065, Karnataka, India
来源：
FORUM MATHEMATICUM | 2022年 / 34卷 / 05期
关键词：
Quasilinear equations; Lipschitz regularity; nonstandard growth; ELLIPTIC-EQUATIONS; MAXIMUM PRINCIPLE; INTEGRALS; EXISTENCE;
D O I：
10.1515/forum-2022-0108
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove local Lipschitz regularity for bounded minimizers of functionals with nonstandard ( p, q)-growth with the source term in the Lorentz space L(N, 1) under the restriction q < p + 1 + p min{1/N, 2(p - 1)/Np - 2p + 2}. This extends the recent work by Beck and Mingione to bounded minimizers under weaker hypothesis and is sharp for some special ranges of p, q and N.
引用
收藏
页码：1365 / 1381
页数：17
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