MULTIPLICITY OF POSITIVE SOLUTIONS FOR AN ELLIPTIC SYSTEM
MULTIPLICITY OF POSITIVE SOLUTIONS FOR AN ELLIPTIC SYSTEM
摘要
By considering the properties of , we show the multiplicity of at least two positivesolutions of the elliptic system.
By considering the properties of , we show the multiplicity of at least two positivesolutions of the elliptic system.
参考文献5
-
1Dunninger, D R , and Wang, H , Multiplicity of Positive Radial Solutions for an Elliptic System on an Annulus, Nonlinear Anal , 42(2000), 803-811.
-
2Deimling, K , Nonlinear Functional Analysis, Springer, New York, 1985.
-
3Erbe, L H. Hu, S , and Wang, H , Multiple Positive Solutions of Some Boundary Value Problems, J. Math Anal. Appl , 184(1994), 640-648.
-
4Erbe, L H , and Wang, H , On the Existence of Positive Solutions of Ordinary Differential Equations, Proc Amer Math Soc , 120(1994), 742-748.
-
5Lian, W , Wong, F , and Yeh, C , On the Existence of Positive Solutions of Nonlinear Second Order Differential Equations, Proc Amer Math Soc , 124(1996), 1117-1126.
-
1杨明,石佩虎.Bifurcation of non-negative solutions for an elliptic system[J].Applied Mathematics and Mechanics(English Edition),2008,29(2):251-257.
-
2Dumitru MOTREANU,Abdelkrim MOUSSAOUI.A QUASILINEAR SINGULAR ELLIPTIC SYSTEM WITHOUT COOPERATIVE STRUCTURE[J].Acta Mathematica Scientia,2014,34(3):905-916. 被引量:1
-
3严平,林支桂.STATIONARY STRUCTURES FOR A WEAKLY COUPLED ELLIPTIC SYSTEM ARISING IN TWO-PREDATOR, TWO-PREY MODELS[J].Acta Mathematica Scientia,2001,21(4):453-459.
-
4Li Mingzhong Xu Dinghua (College of Sciences).Non-E_2 Class of Strongly Nonlinear Generalised R-H Boundary Value Problems for Second-Order Elliptic System[J].Advances in Manufacturing,1998(3):3-11.
-
5陶继成.THE BOUNDARY VALUE PROBLEMS OF ELLIPTICSYSTEM (E_1) ON THE UNBOUNDED DOMAIN[J].Acta Mathematica Scientia,2002,22(1):123-130.
-
6Mingzhong (School of Sciences,Shanghai University).Nonlinear Riemann-Hilbert Problem for the First Order Elliptic System with the General Form[J].Advances in Manufacturing,1999(2):11-15.
-
7Huai-yu ZHOU,Su-fang TANG.Regularity and Radial Symmetry of Positive Solutions for a Higher Order Elliptic System[J].Acta Mathematicae Applicatae Sinica,2017,33(2):551-560.
-
8Zhao-xia LIU,Zhao-hui LIU.Existence of Solutions for the Critical Elliptic System with Inverse Square Potentials[J].Acta Mathematicae Applicatae Sinica,2013,29(2):315-328.
-
9Shan ZHANG,Ling ZHOU,Zu Han LIU.Uniqueness and Least Energy Property for Solutions to a Strongly Coupled Elliptic System[J].Acta Mathematica Sinica,English Series,2017,33(3):419-438. 被引量:1
-
10郝兆才,张洪谦,屈跃宽.TWO POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEMS[J].Annals of Differential Equations,2003,19(4):497-504.