The existence of solutions for elliptic systems with nonuniform growth

被引：26

作者：

Fu, YQ ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

STUDIA MATHEMATICA | 2002年 / 151卷 / 03期

关键词：

D O I：

10.4064/sm151-3-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Dirichlet problems for elliptic partial differential systems with nonuniform growth. By means of the Musielak-Orlicz space theory, we obtain the existence of weak solutions, which generalizes the result of Acerbi and Fusco [1].

引用

页码：227 / 246

页数：20

共 50 条

[1] On existence and stability of solutions to elliptic systems with generalised growth
Galewski, Marek
Plocienniczak, Marek
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 76 (03) : 453 - 470
[2] EXISTENCE OF SOLUTIONS FOR NONLOCAL ELLIPTIC SYSTEMS WITH NONSTANDARD GROWTH CONDITIONS
Dai, Guowei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[3] Existence of positive solutions to semilinear elliptic systems with supercritical growth
Li, Congming
Villavert, John
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2016, 41 (07) : 1029 - 1039
[4] Existence of solutions of sublinear elliptic systems with quadratic growth in the gradient
Mohamed Benrhouma
Nonlinear Differential Equations and Applications NoDEA, 2014, 21 : 737 - 749
[5] Existence of solutions of sublinear elliptic systems with quadratic growth in the gradient
Benrhouma, Mohamed
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2014, 21 (05): : 737 - 749
[6] Existence of global solutions of elliptic systems
Filippucci, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (02) : 677 - 692
[7] Existence of solutions for a class of elliptic systems
Wang, Jian-Sheng
An, Yu-Kun
Lanzhou Daxue Xuebao/Journal of Lanzhou University, 2002, 38 (02):
[8] Existence and multiplicity of solutions for elliptic systems with nonstandard growth condition in RN
Xu, Xianchun
An, Yukun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (04) : 956 - 968
[9] EXISTENCE OF WEAK SOLUTIONS FOR ELLIPTIC SYSTEMS WITH p, q-GROWTH
Cupini, Giovanni
Leonetti, Francesco
Mascolo, Elvira
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2015, 40 (02) : 645 - 658
[10] Existence of solutions for quasilinear elliptic systems in divergence form with variable growth
Yongqiang Fu
Miaomiao Yang
Journal of Inequalities and Applications, 2014

← 1 2 3 4 5 →