Abstract
In this paper, we first study a Schrödinger system with nonlocal coupling nonlinearities of Hartree type
Using variational methods, we prove the existence of purely vector ground state solutions for the Schrödinger system if the parameter \({\varepsilon}\) is small enough. Secondly, we also establish some existence results for the coupled Schrödinger system with critical exponents.
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M. Yang is supported by ZJNSF (Y7080008) and NSFC (11101374, 11271331). Y. Ding is supported by NSFC (10831005).
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Yang, M., Wei, Y. & Ding, Y. Existence of semiclassical states for a coupled Schrödinger system with potentials and nonlocal nonlinearities. Z. Angew. Math. Phys. 65, 41–68 (2014). https://doi.org/10.1007/s00033-013-0317-1
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DOI: https://doi.org/10.1007/s00033-013-0317-1