On Existence of Ground States for Some Elliptic Systems

On Existence of Ground States for Some Elliptic Systems

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摘要 In this paper we consider the existence of ground states for some 2- coupled nonlinear Schrodinger systems with or without potentials. Under various conditions on the parameters in the equations, we prove the existence of ground states.

作者 WEI Gongming

机构地区 College of Science

出处《Journal of Partial Differential Equations》 2010年第4期305-314,共10页 偏微分方程（英文版）

关键词 Ground state solution manifold critical point theory coupled nonlinear Schrodinger system.

分类号 O175.2 [理学—基础数学]

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参考文献1

1Gongming WEI.Existence and Concentration of Ground States of Coupled Nonlinear Schr■dinger Equations with Bounded Potentials[J].Chinese Annals of Mathematics,Series B,2008,29(3):247-264. 被引量：1

二级参考文献2

1Thomas Bartsch,Zhi-Qiang Wang.NOTE ON GROUND STATES OF NONLINEAR SCHRODINGER SYSTEMS[J].Journal of Partial Differential Equations,2006,19(3):200-207. 被引量：15
2Ding Yanheng,Lin Fanghua.SEMICLASSICAL STATES OF HAMILTONIAN SYSTEM OF SCHROEDINGER EQUATIONS WITH SUBCRITICAL AND CRITICAL NONLINEARITIES[J].Journal of Partial Differential Equations,2006,19(3):232-255. 被引量：3

1Mohammed 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.
2李明忠.ON SKEW DERIVATIVE PROBLEM FOR SECOND ORDER ELLIPTIC SYSTEMS ON THE PLANE[J].Chinese Science Bulletin,1983,28(6):719-723.
3LEADI Liamidi MARCOS Aboubacar.Maximum Principle for Nonlinear Cooperative Elliptic Systems on R^N[J].Journal of Partial Differential Equations,2011,24(3):264-280.
4Lei-ga Zhao Fu-kun Zhao.A Note on Solutions for Asymptotically Linear Elliptic Systems[J].Acta Mathematicae Applicatae Sinica,2008,24(3):511-522.
5KANG DongSheng,YANG Fen.Elliptic systems involving multiple critical nonlinearities and symmetric multi-polar potentials[J].Science China Mathematics,2014,57(5):1011-1024. 被引量：1
6徐海祥.ON THE EIGENVALUE PROBLEM FOR ELLIPTIC SYSTEMS WITH STRONGLY EIGEN-EXPONENT UNDER NATURAL GROWTH CONDITIONS[J].Acta Mathematica Scientia,1993,13(2):188-194.
7KANG DongSheng,PENG ShuangJie.Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents[J].Science China Mathematics,2011,54(2):243-256. 被引量：12
8李明忠,徐定华.A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E_2 CLASS ELLIPTIC SYSTEMS IN GENERAL FORM[J].Applied Mathematics and Mechanics(English Edition),2003,24(2):163-181.
9李明忠,程晋.ON BOUNDARY VALUE PROBLEMS FOROVERDETERMINED ELLIPTIC SYSTEMS OF TWO COMPLEX VARIABLES[J].Chinese Annals of Mathematics,Series B,1990,11(1):84-92. 被引量：2
10WU GUANGRONG, HUANG WENHUA AND SHEN ZUHE.SINGULARLY PERTURBED NONLINEAR ELLIPTIC SYSTEMS IN STRIP DOMAIN[J].Applied Mathematics(A Journal of Chinese Universities),1997,12(3):287-292.

Journal of Partial Differential Equations

2010年第4期

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On Existence of Ground States for Some Elliptic Systems

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