ON THE REGULARITY OF MINIMIZERS FOR SCALAR INTEGRAL FUNCTIONALS WITH (p, q)-GROWTH

被引：36

作者：

Bella, Peter ^{[1
]}

Schaeffner, Mathias ^{[2
]}

机构：

[1] Tech Univ Dortmund, Fak Math, Dortmund, Germany

[2] Univ Leipzig, Math Inst, Leipzig, Germany

来源：

ANALYSIS & PDE | 2020年 / 13卷 / 07期

关键词：

nonuniformly elliptic equations; local Lipschitz continuity; (p; q)-growth; nonstandard growth conditions; ELLIPTIC-EQUATIONS;

D O I：

10.2140/apde.2020.13.2241

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We revisit the question of regularity for minimizers of scalar autonomous integral functionals with so-called (p, q)-growth. In particular, we establish Lipschitz regularity under the condition q/p < 1 + 2/n-1 for n >= 3, improving a classical result due to Marcellini (J. Differential Equations 90:1 (1991), 1-30).

引用

页码：2241 / 2257

页数：17

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