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

Abstract

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.

This paper has been withdrawn by the authors due to a crucial error in Proposition A.1