TY - JOUR
T1 - Existence of minimizers for some coupled nonlinear Schrödinger equations
AU - Ikoma, Norihisa
N1 - Funding Information:
Acknowledgements The author would like to thank Professor Maris and Professor Shibata for letting him know Refs. [10] and [28], and fruitful discussions. The author was supported by Grant-in-Aid for JSPS Fellows 22-1561 and “Japanese-German Graduate Externship, International Research Training Group” associated with Waseda University and Technische Universität Darmstadt.
Publisher Copyright:
© 2013, Springer-Verlag Italia.
PY - 2013
Y1 - 2013
N2 - The existence and nonexistence of minimizers for two minimizing problems are considered. These problems are related to three coupled nonlinear Schrödinger equations which appear in the field of nonlinear optics. We observe the relationship between two minimizing problems and also study the asymptotic behavior when the coefficient standing for the nonlocal nonlinearity tend to 0.
AB - The existence and nonexistence of minimizers for two minimizing problems are considered. These problems are related to three coupled nonlinear Schrödinger equations which appear in the field of nonlinear optics. We observe the relationship between two minimizing problems and also study the asymptotic behavior when the coefficient standing for the nonlocal nonlinearity tend to 0.
KW - Minimization problem
KW - Nonlocal nonlinearity
KW - Two constraints conditions
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U2 - 10.1007/978-88-470-2841-8_10
DO - 10.1007/978-88-470-2841-8_10
M3 - Article
AN - SCOPUS:84975515516
SN - 2281-518X
VL - 2
SP - 143
EP - 164
JO - Springer INdAM Series
JF - Springer INdAM Series
ER -