Abstract
A class of coupled Schrödinger equations is investigated. First, in the stationary case, the existence of ground states is obtained and a sharp Gagliardo–Nirenberg inequality is discussed. Second, in the energy critical radial case, global well-posedness and scattering for small data are proved.
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Saanouni, T. On coupled nonlinear Schrödinger systems. Arab. J. Math. 8, 133–151 (2019). https://doi.org/10.1007/s40065-018-0217-5
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DOI: https://doi.org/10.1007/s40065-018-0217-5