本项目拟使用变分方法研究分数阶Choquard方程解的存在性、多重性及集中现象.我们将重点关注以下三个问题:.（1）.研究变号解的存在性、多重性及集中现象,特别是节点解的相关问题; .（2）.研究具次下临界增长或超上临界增长解的存在性问题;.（3）.研究带拟线性项的分数阶Choquard方程解的存在性及多重性问题.

In this project, we will use the variational methods to study the existence, multiplicity and concentration of solutions for the fractional Choquard equations. We are interested in the following three problems:.(1).The existence, multiplicity and concentration of sign-changing solutions, especially nodal solutions;.(2).The existence of solutions for the equations with sub-lower-critical or super-upper-critical nonlinearities;.(3).The existence and multiplicity of solutions for the equations with a quasilinear term.