PDE Seminar Abstracts

# Uniqueness, existence and concentration of positive ground states for Kirchhoff type problems

Zhitao Zhang
We first show some recent results on nonlocal problems. We prove the uniqueness of positive ground state for the Kirchhoff type equations with constant coefficients Then we use the uniqueness results to obtain the existence and concentration theorems of positive ground states to the Kirchhoff type equations with competing potential functions for a sufficiently small positive parameter $ϵ$.