Singular orthotropic functionals with nonstandard growth conditions

被引：0
|
作者：
Bousquet, Pierre [1 ]
Brasco, Lorenzo [2 ]
Leone, Chiara [3 ]
机构：
[1] Univ Toulouse, Inst Math Toulouse, UMR5219, CNRS,UPS, F-31062 Toulouse 9, France
[2] Univ Ferrara, Dipartimento Matemat & Informat, Via Machiavelli 30, I-44121 Ferrara, Italy
[3] Complesso Univ Monte S Angelo, Univ Napoli Federico 2, Dipartimento Matemat R Caccioppoli, Via Cinthia, I-80126 Naples, Italy
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2024年 / 40卷 / 02期
关键词：
nonstandard growth conditions; singular elliptic equations; Lipschitz regularity; Sobolev regularity; orthotropic functionals; WEAK SOLUTIONS; BOUNDED MINIMIZERS; LOCAL BOUNDEDNESS; REGULARITY; DEGENERATE; CALCULUS; INTEGRALS;
D O I：
10.4171/RMI/1446
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We pursue the study of a model convex functional with orthotropic structure and nonstandard growth conditions, this time focusing on the sub -quadratic case. We prove that bounded local minimizers are locally Lipschitz. No restrictions on the ratio between the highest and the lowest growth rates are needed. The result holds also in presence of a non -autonomous lower order term, under sharp integrability assumptions. Finally, we prove higher differentiability of bounded local minimizers as well.
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页码：753 / 802
页数：50
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