On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system

Sato, Yohei; Wang, Zhi-Qiang

Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) no. 1, pp. 1-22.

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.

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