Singular quasilinear elliptic systems with gradient dependence

被引：7

作者：

Dellouche, Halima ^{[1
]}

Moussaoui, Abdelkrim ^{[2
,3
]}

机构：

[1] A Mira Bejaia Univ, Fac Exact Sci, Appl Math Lab LMA, Targa Ouzemour 06000, Bejaia, Algeria

[2] A Mira Bejaia Univ, Fac Nat & Life Sci, Fac Exact Sci, Appl Math Lab LMA, Targa Ouzemour 06000, Bejaia, Algeria

[3] A Mira Bejaia Univ, Fac Nat & Life Sci, Biol Dept, Targa Ouzemour 06000, Bejaia, Algeria

来源：

POSITIVITY | 2022年 / 26卷 / 01期

关键词：

P-Laplacian; Singular systems; Gradient estimate; Regularity; Convection terms; Fixed point; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1007/s11117-022-00868-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove existence and regularity of positive solutions for singular quasilinear elliptic systems involving gradient terms. Our approach is based on comparison properties, a priori estimates and Schauder's fixed point theorem.

引用

页数：14

共 50 条

[41] Global gradient estimates for very singular quasilinear elliptic equations with non-divergence data
Minh-Phuong Tran
Thanh-Nhan Nguyen
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 214
[42] Solutions to a class of singular quasilinear elliptic equations
Wei, Lin
Yang, Zuodong
[J]. ANNALES POLONICI MATHEMATICI, 2010, 98 (03) : 231 - 240
[43] Compactness Property of a Singular Quasilinear Elliptic Equation
Chen, Jianqing
[J]. ADVANCED NONLINEAR STUDIES, 2008, 8 (04) : 663 - 678
[44] Multiple symmetric results for singular quasilinear elliptic systems with critical homogeneous nonlinearity
Deng, Zhiying
Zhang, Rui
Huang, Yisheng
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (05) : 1538 - 1552
[45] QUASILINEAR ELLIPTIC SYSTEMS WITH CONVEX-CONCAVE SINGULAR TERMS AND Φ-LAPLACIAN OPERATOR
Goncalves, Jose V.
Carvalho, Marcos L.
Santos, Carlos Alberto
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2018, 31 (3-4) : 231 - 256
[46] ON A SINGULAR QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEM
杨会生
杨作东
[J]. Annals of Applied Mathematics, 1998, (04) : 672 - 682
[47] Multiple Solutions for a Singular Quasilinear Elliptic System
Chen, Lin
Chen, Caisheng
Xiu, Zonghu
[J]. SCIENTIFIC WORLD JOURNAL, 2013,
[48] A multiplicity results for a singular quasilinear elliptic equation
Hsini, Mounir
Saoudi, Kamel
Seddik, Mouldi
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32 (10)
[49] Existence results for a singular quasilinear elliptic equation
Jing, Yongtao
Liu, Zhaoli
Wang, Zhi-Qiang
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (01) : 67 - 84
[50] THREE SOLUTIONS FOR A SINGULAR QUASILINEAR ELLIPTIC PROBLEM
Faraci, Francesca
Smyrlis, George
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2019, 62 (01) : 179 - 196

← 1 2 3 4 5 →