A generalized fractional Pohozaev identity and applications
Analysis of PDEs
2021-12-21 v1
Abstract
We prove a fractional Pohozaev type identity in a generalized framework and discuss its applications. Specifically, we shall consider applications to nonexistence of solutions in the case of supercritical semilinear Dirichlet problems and regarding a Hadamard formula for the derivative of Dirichlet eigenvalues of the fractional Laplacian with respect to domain deformations. We also derive the simplicity of radial eigenvalues in the case of radial bounded domains and apply the Hadamard formula to this case.
Cite
@article{arxiv.2112.10653,
title = {A generalized fractional Pohozaev identity and applications},
author = {Sidy Moctar Djitte and Mouhamed Moustpha Fall and Tobias Weth},
journal= {arXiv preprint arXiv:2112.10653},
year = {2021}
}