摘要
In this article, we study the following nonhomogeneous Schrodinger-Poissone quations{-△u+λV(x)u+K(x)Фu=f(x,u)+g(x),x∈R^3,-△Ф=k(x)u^2, x∈R^3}where λ 〉 0 is a parameter. Under some suitable assumptions on 11, K, f and g, the existence of multiple solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. In particular, the potential V is allowed to be signchanging.
In this article, we study the following nonhomogeneous Schrodinger-Poissone quations{-△u+λV(x)u+K(x)Фu=f(x,u)+g(x),x∈R^3,-△Ф=k(x)u^2, x∈R^3}where λ 〉 0 is a parameter. Under some suitable assumptions on 11, K, f and g, the existence of multiple solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. In particular, the potential V is allowed to be signchanging.
基金
supported by the Tianyuan Special Foundation(11526148)
the second author is supported by the National Natural Science Foundation of China(11571187)