一类非局部薛定谔方程的解的存在性

Existence of nontrivial solutions for a class of nonlocal Schrdinger equations

研究了一类扰动的Choquard型方程非平凡解的存在性,通过采用Lyapunov-Schmidt约化方法及Ambrosetti-Badiale理论,证明了该方程的非平凡弱解的存在性定理.

It was discussed the existence of nontrivial solutions for some disturbance Choquard type equations.Some existence results for this equation were established by Lyapunov-Schmidt reduction procedure and Ambrosetti-Badiale's theories.