Regularity of minimizers under limit growth conditions

被引：45

作者：

Cupini, Giovanni ^{[1
]}

Marcellini, Paolo ^{[2
]}

Mascolo, Elvira ^{[2
]}

机构：

[1] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy

[2] Univ Florence, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 153卷

关键词：

Anisotropic growth condition; Local boundedness; Non-coercive functional; LOCAL BOUNDEDNESS; FUNCTIONALS; EXISTENCE; INTEGRALS; CALCULUS; MINIMA;

D O I：

10.1016/j.na.2016.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well known that an integral of the Calculus of Variations satisfying anisotropic growth conditions may have unbounded minimizers if the growth exponents are too far apart. Under sharp assumptions on the exponents we prove the local boundedness of minimizers of functionals with anisotropic p, q-growth,via the De Giorgi method. As a by-product, regularity of minimizers of some non coercive functionals is obtained by reduction to coercive ones. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：294 / 310

页数：17

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