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).
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页码：2241 / 2257
页数：17
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