Some Remarks on the Positive Solution for a Semilinear Shrödinger-Poisson-Slater System in Rn
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In this paper,we investigate the existence and non-existence of positive solutions of the following problem whereλ>0 is a parameter,5/3≤q < 5,f(s) is asymptotically linear with respect to s at infinity. Under some simple assumptions on V and f,we prove that the problem(P) has at least one positive solution forλsmall and has no nontrivial solution forλlarge.
& Li, Y.
(2010). Some Remarks on the Positive Solution for a Semilinear Shrödinger-Poisson-Slater System in Rn. Advances in Mathematics (China), 39 (3), 303-312.