| Abstract: |
| We are concerned with certain nonlinear Schrodinger equations involving Kirchhoff type nonlocal term. The existence and concentration behavior of $L^2-$normalized solutions for the equations are discussed. Moreover, due to the presence of Kirchhoff type nonlocal term in the equations, it is well known that some strong growth conditions on the nonlinear terms of the equations are required when we seek a mountain pass solution (i.e., a solution obtained by using mountain pass theorem), in this talk we will show that there is a way to get a mountain pass solution for a Kirchhoff type elliptic equation under the usual growth condition on the nonlinear term. The work was supported by NSFC. |
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