The paper concerns multiplicity of vector solutions for nonlinear Schrödinger systems, in particular of semi-positive solutions. New variational techniques are developed to study the existence of this type of solutions. Asymptotic behaviors are examined in various parameter regimes including both attractive and repulsive cases.
@article{AIHPC_2013__30_1_1_0, author = {Sato, Yohei and Wang, Zhi-Qiang}, title = {On the multiple existence of semi-positive solutions for a nonlinear Schr\"odinger system}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {30}, year = {2013}, pages = {1-22}, doi = {10.1016/j.anihpc.2012.05.002}, mrnumber = {3011289}, zbl = {06154080}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2013__30_1_1_0} }
Sato, Yohei; Wang, Zhi-Qiang. On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system. Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) pp. 1-22. doi : 10.1016/j.anihpc.2012.05.002. http://gdmltest.u-ga.fr/item/AIHPC_2013__30_1_1_0/
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