ON LINEARLY COUPLED SCHRODINGER SYSTEMS

被引：0

作者：

Chen, Zhijie ^{[1
]}

Zou, Wenming ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 01期

关键词：

EQUATIONS; EXISTENCE; SOLITONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the following system of nonlinear Schrodinger equations: {-Delta u + u = f(u) + lambda u, x is an element of R-N, -Delta u + u = g(u) + lambda u, x is an element of R-N, Under almost optimal assumptions on f and g, for small lambda > 0, we obtain positive radial solutions and study their asymptotic behaviors as lambda -> 0.

引用

页码：323 / 333

页数：11

共 16 条

[1] NOVEL SOLITON STATES AND BIFURCATION PHENOMENA IN NONLINEAR FIBER COUPLERS [J].

AKHMEDIEV, N ;

ANKIEWICZ, A .

PHYSICAL REVIEW LETTERS, 1993, 70 (16) :2395-2398

[2] Multi-bump solitons to linearly coupled systems of nonlinear Schrodinger equations [J].

Ambrosetti, A. ;

Colorado, E. ;

Ruiz, D. .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2007, 30 (01) :85-112

[3] Solitons of linearly coupled systems of semilinear non-autonomous equations on Rn [J].

Ambrosetti, Antonio ;

Cerami, Giovanna ;

Ruiz, David .

JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 254 (11) :2816-2845

[4] Remarks on some systems of nonlinear Schrodinger equations [J].

Ambrosetti, Antonio .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2008, 4 (01) :35-46

[5]

[Anonymous], 1983, Grundlehren der Mathematischen Wissenschaften

[6]

[Anonymous], 1990, REV MAT IBEROAM, DOI DOI 10.4171/RMI/92

[7] On the existence of a positive solution of semilinear elliptic equations in unbounded domains [J].

Bahri, A ;

Lions, PL .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1997, 14 (03) :365-413

[8]

BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313

[9] MINIMUM ACTION SOLUTIONS OF SOME VECTOR FIELD-EQUATIONS [J].

BREZIS, H ;

LIEB, EH .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 96 (01) :97-113

[10] Standing waves for nonlinear Schrodinger equations with a general nonlinearity [J].

Byeon, Jaeyoung ;

Jeanjean, Louis .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2007, 185 (02) :185-200

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