Pohozaev identity for the fractional $p-$Laplacian on $\mathbb{R}^N$

Lorenzo Brasco, Sunra Mosconi, Marco Squassina

Published 2017-01-01Version 1

By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on $\mathbb{R}^N$ involving the fractional $p-$Laplacian operator. Furthermore we provide an application of the identity to show that some relevant levels of the energy functional associated with the problem coincide.