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- W2001677544 abstract "In this work we are concerned with existence and asymptotic behaviour of standing wave solutions in the whole space R3 for the quasilinear Schrodinger–Poisson system−12Δu+(V+V˜)u+ωu=0,−div[(1+e4|∇V|2)∇V]=|u|2−n∗,when the nonlinearity coefficient e>0 goes to zero. Under appropriate, almost optimal, assumptions on the potential V˜ and the density n∗ we establish existence of a ground state (ue,Ve) of the above system, for all e sufficiently small, and show that (ue,Ve) converges to (u0,V0), the ground state solution of the corresponding system for e=0." @default.
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- W2001677544 date "2008-06-01" @default.
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- W2001677544 title "Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in ( R^{3} )" @default.
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- W2001677544 doi "https://doi.org/10.1016/j.anihpc.2007.02.002" @default.
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