本项目拟使用变分方法研究带非局部项的拟线性薛定谔方程解的存在性、多重性及解的集中现象. 我们将重点关注以下五个问题:.（1）在衰减位势或变号位势下, 研究带非局部项的拟线性薛定谔方程解的存在性、多重性及解的集中现象;.（2）在局部井形位势下, 研究带非局部项的拟线性薛定谔方程解的存在性、多重性及解的集中现象; .（3）研究带非局部项的拟线性薛定谔方程的多包解问题; .（4）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; .（5）研究具次下临界增长或上临界增长或超上临界增长解的存在性、多重性及解的集中现象.

In this project, we will use the variational methods to study the existence, multiplicity and concentration of solutions for the quasilinear Schrödinger equations with nonlocal term. We are interested in the following five problems:.(1).The existence, multiplicity and concentration of solutions for the quasilinear Schrödinger equations with nonlocal term with decay or sign-changing potential;.(2).The existence, multiplicity and concentration of solutions for the quasilinear Schrödinger equations with nonlocal term with local potential well;.(3).Multi-bump solutions for the quasilinear Schrödinger equations with nonlocal term;.(4).The existence, multiplicity and concentration of sign-changing solutions, especially nodal solutions;.(5).The existence, multiplicity and concentration of solutions for the equations with sub-lower-critical or upper-critical or super-upper-critical nonlinearity.