Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation

Helin Guo, Huan-Song Zhou

Let $a>0,b>0$ and $V(x)\ge 0$ be a coercive function in ${\mathbb{R}}^2$. We study the following constrained minimization problem on a suitable weighted Sobolev space $\mathcal{H}$: \…