Precise Morrey regularity of the weak solutions to a kind of quasilinear systems with discontinuous data

被引：5

作者：

Fattorusso, Luisa ^{[1
]}

Softova, Lubomira G. ^{[1
,2
]}

机构：

[1] Mediterranea Univ Reggio Calabria, Via Univ 251, I-89124 Reggio Di Calabria, Italy

[2] Univ Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, Italy

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2020年 / 36期

关键词：

quasilinear elliptic systems; controlled growth conditions; componentwise coercivity; Reifenberg-flat domain; Morrey spaces; PARABOLIC EQUATIONS; GLOBAL REGULARITY; ELLIPTIC-SYSTEMS; GRADIENT; INTEGRABILITY;

D O I：

10.14232/ejqtde.2020.1.36

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Dirichlet problem for a class of quasilinear elliptic systems in domain with irregular boundary. The principal part satisfies componentwise coercivity condition and the nonlinear terms are Caratheodory maps having Morrey regularity in x and verifying controlled growth conditions with respect to the other variables. We have obtained boundedness of the weak solution to the problem that permits to apply an iteration procedure in order to find optimal Morrey regularity of its gradient.

引用

页码：1 / 13

页数：13

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