Local boundedness of minimizers under unbalanced Orlicz growth conditions

被引：3
|
作者：
Cianchi, Andrea [1 ]
Schaeffner, Mathias [2 ]
机构：
[1] Univ Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67 A, I-50134 Florence, Italy
[2] MLU Halle Wittenberg, Inst Math, Theodor Lieser Str 5, D-06120 Halle, Germany
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 401卷
关键词：
Local minimizers; Local boundedness; Unbalanced Orlicz growth; Orlicz-Sobolev inequalities; VARIATIONAL-PROBLEMS; ELLIPTIC-EQUATIONS; REGULARITY; SOBOLEV; FUNCTIONALS; EXISTENCE; INTEGRALS; SYSTEMS; MINIMA; (P;
D O I：
10.1016/j.jde.2024.04.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Local minimizers of integral functionals of the calculus of variations are analyzed under growth conditions dictated by different lower and upper bounds for the integrand. Growths of non -necessarily power type are allowed. The local boundedness of the relevant minimizers is established under a suitable balance between the lower and the upper bounds. Classical minimizers, as well as quasi -minimizers are included in our discussion. Functionals subject to so-called p, q -growth conditions are embraced as special cases and the corresponding sharp results available in the literature are recovered. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
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页码：58 / 92
页数：35
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