JournalsaihpcVol. 30, No. 1pp. 1–22

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

  • Yohei Sato

    Osaka City University Advanced Mathematical Institute, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Smiyoshi-ku, Osaka 558-8585, Japan

  • Zhi-Qiang Wang

    Chern Institute Mathematics, Nankai University, Tianjin 300071, PR China, Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA
On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system cover
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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.

Cite this article

Yohei Sato, Zhi-Qiang Wang, On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system. Ann. Inst. H. Poincaré Anal. Non Linéaire 30 (2013), no. 1, pp. 1–22

DOI 10.1016/J.ANIHPC.2012.05.002