An autonomous Kirchhoff-type equation with general nonlinearity in ${\mathbb{R}}^N$

Sheng-Sen Lu

We consider the following autonomous Kirchhoff-type equation \begin{equation*} -\left(a+b\int_{\mathbb{R}^N}|\nabla{u}|^2\right)Δu= f(u),~~~~u\in H^1(\mathbb{R}^N), \end{equation*}…