Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626831 | Applied Mathematics and Computation | 2015 | 11 Pages |
Abstract
In this paper, we consider the existence of multiple solutions to the following nonhomogeneous generalized Schrödinger–Poisson system-Δu+Ku+qϕf(u)=g(u)+h(x),inR3,-Δϕ=2qF(u),inR3,where q⩾0q⩾0is a parameter, 0≠h(x)=h(|x|)∈L2(R3), and g is asymptotically linear or superliner at infinity. We show that there exists q0>0q0>0 such that the system has at least two positive radial solutions for q∈[0,q0)q∈[0,q0).
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Qi Zhang, Fuyi Li, Zhanping Liang,