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On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system
Authors:Yohei Sato  Zhi-Qiang Wang
Affiliation:1. Osaka City University Advanced Mathematical Institute, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Smiyoshi-ku, Osaka 558-8585, Japan;2. Chern Institute Mathematics, Nankai University, Tianjin 300071, PR China;3. Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA
Abstract:
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.
Keywords:
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