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}, pages = {1--22}, publisher = {Elsevier}, volume = {30}, number = {1}, year = {2013}, doi = {10.1016/j.anihpc.2012.05.002}, mrnumber = {3011289}, zbl = {06154080}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2012.05.002/} }
TY - JOUR AU - Sato, Yohei AU - Wang, Zhi-Qiang TI - On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system JO - Annales de l'I.H.P. Analyse non linéaire PY - 2013 SP - 1 EP - 22 VL - 30 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2012.05.002/ DO - 10.1016/j.anihpc.2012.05.002 LA - en ID - AIHPC_2013__30_1_1_0 ER -
%0 Journal Article %A Sato, Yohei %A Wang, Zhi-Qiang %T On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system %J Annales de l'I.H.P. Analyse non linéaire %D 2013 %P 1-22 %V 30 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2012.05.002/ %R 10.1016/j.anihpc.2012.05.002 %G en %F 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, Volume 30 (2013) no. 1, pp. 1-22. doi : 10.1016/j.anihpc.2012.05.002. http://www.numdam.org/articles/10.1016/j.anihpc.2012.05.002/
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