Weakly coupled nonlinear Schrödinger systems: the saturation effect
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- de Almeida Maia, L., Montefusco, E. & Pellacci, B. Calc. Var. (2013) 46: 325. doi:10.1007/s00526-011-0484-x
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We study the existence of solutions for a class of saturable weakly coupled Schrödinger systems. In most of the cases we show that least energy solutions have necessarily one trivial component. In addition sufficient conditions for the existence of a solution with both positive components are found.