EXISTENCE OF SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS WITH INDEFINITE WEIGHTS
EXISTENCE OF SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS WITH INDEFINITE WEIGHTS
摘要
By use of the fibering method introduced by Pohozaev S I, the existence of positive solutions for homogeneous Dirichlet problem of a class of quasilinear elliptic systems with indefinite weights is obtained.
基金
This research is supported by the NSF of China under Grant （69972036）, Youth Science Foundation of USST under Grant （04XQN018）.
参考文献10
-
1Velin J, De Thelin F. Existence and nonexistence of nontrivial positive solutions for elliptic systems. Rev. Mat. Univ. Madrid, 1993, 6: 153-194.
-
2Clement Ph, Fleckinger J, Mitidieri E, De Thelin F. Existence of positive solutions for quasilinear elliptic systems. J. Differential Equations, 2000, 166: 455-477.
-
3Boccardo L, De Figueiredo D G. Some remarks on a system of quasilinear elliptic equations.Nonlinear Differential Equations and Applications, 2000, 9: 309-323.
-
4Pohozaev S I. On fibering method for the solutions of nonlinear boundary value problems.Trudu Mat. Inst. Steklov, 1990, 192: 146-323.
-
5Drabek P, Pohozaev S I. Positive solutions for the p-Laplaian: applications of the fibering method. Proc. Roy. Soc. Edinburgh A, 1997, 127: 703-726.
-
6Bozhkov Y, Mitidieri E. Existence of multiple solutions for quasilinear systems via fibering method. J. Differential Equations, 2003, 190: 239-267.
-
7Cuesta M. Eigenvalue problems for the p-Laplacian with indefinite weights. Electron. J.Differential Equations, 2001, 33: 1-9.
-
8Xuan B. Existence results for a superlinear p-Laplacian equation with indefinite weights.Nonlinear Analysis, TMA, 2003, 54: 949-958.
-
9Struwe M. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamlitional Systems (Second Edition). Berlin: Springer-Verlag, 1996.
-
10Willem M. Minimax Theorems. Boston: Birkhauser, 1996.
-
1WEI Gongming.On Existence of Ground States for Some Elliptic Systems[J].Journal of Partial Differential Equations,2010,23(4):305-314.
-
2Mohammed El Mokhtar Ould E1 Mokhtar.On Nonhomogeneous Singular Elliptic Systems with Critical C-K-NExponent[J].Journal of Mathematics and System Science,2015,5(4):165-171.
-
3Zhao Yang YIN.Positive Solutions of a Class of Quasilinear Elliptic Equations in Two-dimensional Exterior Domains[J].Acta Mathematica Sinica,English Series,2006,22(3):819-826.
-
4汪全珍,陈祖墀.EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO CERTAIN QUASILINEAR ELLIPTIC EQUATIONS IN A BALL[J].Acta Mathematica Scientia,2006,26(1):125-133. 被引量：1
-
5Zhang Zhengce,Wang Weimin,Li Kaitai.LIOUVILLE-TYPE THEOREMS FOR SEMILINEAR ELLIPTIC SYSTEMS[J].Journal of Partial Differential Equations,2005,18(4):304-310. 被引量：4
-
6Xiao Qishan Huang Jianhua.EXISTENCE OF POSITIVE SOLUTION FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATION[J].Annals of Differential Equations,2007,23(1):89-95.
-
7李明忠.ON SKEW DERIVATIVE PROBLEM FOR SECOND ORDER ELLIPTIC SYSTEMS ON THE PLANE[J].Chinese Science Bulletin,1983,28(6):719-723.
-
8LEADI Liamidi MARCOS Aboubacar.Maximum Principle for Nonlinear Cooperative Elliptic Systems on R^N[J].Journal of Partial Differential Equations,2011,24(3):264-280.
-
9Lei-ga Zhao Fu-kun Zhao.A Note on Solutions for Asymptotically Linear Elliptic Systems[J].Acta Mathematicae Applicatae Sinica,2008,24(3):511-522.
-
10Xue Xiu ZHONG,Wen Ming ZOU.A Concentration Behavior for Semilinear Elliptic Systems with Indefinite Weight[J].Acta Mathematica Sinica,English Series,2014,30(12):2014-2026. 被引量：2
