Abstract
In this paper we investigate the existence of a positive vector solution for a class of non-linear strongly coupled Schrödinger system in \(\mathbb{R}^N\), which is non-autonomous and asymptotically linear at infinity. Using topological arguments, combined with sharp exponential decay estimates, we obtain a bound state solution when the ground state is not attained.
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The authors would like to thank the anonymous reviewer for her/his careful reading of the manuscript and many comments and suggestions.
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The first and second authors were partially supported by FAPDF, CNPq/PQ 308378/2017-2, PROEX/CAPES and FEMAT (Brazil), while the third author was partially supported by UFVJM.
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Maia, L.A., Ruviaro, R. & Moura, E.L. Bound State for a Strongly Coupled Nonlinear Schrödinger System with Saturation. Milan J. Math. 88, 35–63 (2020). https://doi.org/10.1007/s00032-019-00307-1
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DOI: https://doi.org/10.1007/s00032-019-00307-1