Existence and regularity results for weak solutions to (p, q)-elliptic systems in divergence form

被引：5

作者：

Bulicek, Miroslav ^{[1
]}

Cupini, Giovanni ^{[2
]}

Stroffolini, Bianca ^{[3
]}

Verde, Anna ^{[3
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Math Inst, Sokolovska 83, Prague 18675, Czech Republic

[2] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy

[3] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, I-80126 Naples, Italy

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2018年 / 11卷 / 03期

关键词：

Elliptic system; existence of solutions; (p; q)-growth conditions; regularity; NONLINEAR ELLIPTIC-SYSTEMS; GROWTH-CONDITIONS; VARIATIONAL INTEGRALS; MINIMIZERS; EQUATIONS; FUNCTIONALS; CALCULUS;

D O I：

10.1515/acv-2016-0054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and regularity results for weak solutions of non-linear elliptic systems with non-variational structure satisfying (p, q)-growth conditions. In particular, we are able to prove higher differentiability results under a dimension-free gap between p and q.

引用

页码：273 / 288

页数：16

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