Local boundedness under nonstandard growth conditions

被引：3
|
作者：
Feng, Zesheng [1 ]
Zhang, Aiping [1 ]
Gao, Hongya [1 ]
机构：
[1] Hebei Univ, Coll Math & Informat Sci, Baoding 071002, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 526卷 / 02期
关键词：
Local boundedness; Nonstandard growth condition; De Giorgi?s iteration method; ELLIPTIC-EQUATIONS; DIRICHLET PROBLEMS; REGULARITY; MINIMIZERS; INTEGRALS; CALCULUS; COEFFICIENTS; CONVECTION; SYSTEMS;
D O I：
10.1016/j.jmaa.2023.127280
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with local boundedness under nonstandard growth conditions by using De Giorgi's iteration method. We first consider quasilinear elliptic systems, and assume that the coefficients satisfying some boundedness and coercivity conditions, then we derive local boundedness of solutions. Secondly, we consider elliptic equations with a drift term, under some nonstandard growth conditions, we derive that solutions are locally bounded. Finally, we consider variational integrals with the integrand satisfy nonstandard growth conditions, local boundedness of minimizers is derived.(c) 2023 Elsevier Inc. All rights reserved.
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页数：19
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