The pseudorelativistic Hartree equation with a general nonlinearity: existence, non existence and variational identities
Analysis of PDEs
2012-06-06 v1
Abstract
We prove several existence and non existence results of solitary waves for a class of nonlinear pseudo-relativistic Hartree equations with general nonlinearities. We use variational methods and some new variational identities involving the half Laplacian.
Keywords
Cite
@article{arxiv.1206.0853,
title = {The pseudorelativistic Hartree equation with a general nonlinearity: existence, non existence and variational identities},
author = {Dimitri Mugnai},
journal= {arXiv preprint arXiv:1206.0853},
year = {2012}
}