Fractional Laplacian: Pohozaev identity and nonexistence results
Analysis of PDEs
2012-05-03 v1
Abstract
In this note we present the Pohozaev identity for the fractional Laplacian. As a consequence of this identity, we prove the nonexistence of nontrivial bounded solutions to semilinear problems with supercritical nonlinearities in star-shaped domains.
Keywords
Cite
@article{arxiv.1205.0494,
title = {Fractional Laplacian: Pohozaev identity and nonexistence results},
author = {Xavier Ros-Oton and Joaquim Serra},
journal= {arXiv preprint arXiv:1205.0494},
year = {2012}
}