Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841046 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 11 Pages |
Abstract
In this paper, we study the Schrödinger–Poisson system equation(SP){−Δu+V(x)u+λϕ(x)u=K(x)f(u),inR3,−Δϕ=u2,u>0,inR3, and prove the existence of positive solutions for system (SP) when the nonlinearity ff has growth at most linear for λλ small, allowing the potential V(x)V(x) to vanish at infinity. In addition, also we obtain the nonexistence of a nontrivial positive solution for λ≥14.
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Authors
Juntao Sun, Haibo Chen, Liu Yang,