Weakly coupled nonlinear Schrodinger systems: the saturation effect

被引:26
作者
Maia, Liliane de Almeida [1 ]
Montefusco, Eugenio [2 ]
Pellacci, Benedetta [3 ]
机构
[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
[3] Univ Napoli Parthenope, Dipartimento Sci Applicate, I-80143 Naples, Italy
关键词
SOLITARY WAVES; R-N; SPATIAL SOLITONS; FIELD-EQUATIONS; EXISTENCE; STATES; MEDIA;
D O I
10.1007/s00526-011-0484-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the existence of solutions for a class of saturable weakly coupled Schrodinger systems. In most of the cases we show that least energy solutions have necessarily one trivial component. In addition sufficient conditions for the existence of a solution with both positive components are found.
引用
收藏
页码:325 / 351
页数:27
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