Existence of sign-changing solution for a problem involving the fractional Laplacian with critical growth nonlinearities

Rodrigo de Freitas Gabert, Rodrigo da Silva Rodrigues

We study the existence of least energy sign-changing solution for the fractional equation $(-\Delta {)}^{s}u=|u{|}^{2_s^{\ast }-2}u+\lambda f(x,u)$ in a smooth bounded domain $\Omega$ of $\mathbb{R}^{N},…