Some existence results of positive solutions for p-Laplacian systems

被引:6
作者
Wang, Peng [1 ]
Ru, Yuanfang [2 ]
机构
[1] Army Engn Univ PLA, Dept Gen Educ, Nanjing, Jiangsu, Peoples R China
[2] China Pharmaceut Univ, Coll Sci, Nanjing, Jiangsu, Peoples R China
关键词
p-Laplacian; Positive solution; Fixed point theorem; LINEAR ELLIPTIC-SYSTEMS; BOUNDARY-VALUE-PROBLEMS;
D O I
10.1186/s13661-019-1124-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish several new existence theorems for positive solutions of systems of (2n,2m)-order of two p-Laplacian equations. The results are based on the Krasnosel'skii fixed point theorem and mainly complement those of Djebali, Moussaoui, and Precup.
引用
收藏
页数:24
相关论文
共 18 条
[1]  
Aghajnt A., 2012, ELECTRON J DIFFER EQ, V2012, DOI [10.1186/1687-1847-2012-111, DOI 10.1186/1687-1847-2012-111]
[2]  
[Anonymous], ELECTRON J DIFF 0130
[3]   The iterative solutions for some fourth-order p-Laplace equation boundary value problems [J].
Bai, ZB ;
Huang, BJ ;
Ge, WG .
APPLIED MATHEMATICS LETTERS, 2006, 19 (01) :8-14
[4]   Quasilinear elliptic systems in divergence form associated to general nonlinearities [J].
D'Ambrosio, Lorenzo ;
Mitidieri, Enzo .
ADVANCES IN NONLINEAR ANALYSIS, 2018, 7 (04) :425-447
[5]   Quasilinear elliptic equations with critical potentials [J].
D'Ambrosio, Lorenzo ;
Mitidieri, Enzo .
ADVANCES IN NONLINEAR ANALYSIS, 2017, 6 (02) :147-164
[6]   Fourth-Order p-Laplacian Nonlinear Systems via the Vector Version of Krasnosel'skiA's Fixed Point Theorem [J].
Djebali, Smail ;
Moussaoui, Toufik ;
Precup, Radu .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2009, 6 (04) :447-460
[7]   Quasilinear elliptic systems with critical Sobolev exponents in RN [J].
Djellit, Ali ;
Tas, Saadia .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (07) :1485-1497
[8]   Positive solutions for 2p-order and 2q-order systems of singular boundary value problems with integral boundary conditions [J].
Kang, Ping ;
Xu, JuanJuan ;
Wei, Zhongli .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) :2767-2786
[9]  
KRASNOSELSKII M.A, 1964, Positive Solution of Operator Equations
[10]   Multiple positive solutions of the one-dimensional p-Laplacian [J].
Lakmeche, A ;
Hammoudi, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) :43-49