Some a priori estimates for a critical Schrodinger-Newton equation
Analysis of PDEs
2014-03-27 v1 Mathematical Physics
math.MP
Abstract
Under natural energy and decay assumptions, we derive a priori estimates for solutions of a Schrodinger-Newton type of equation with critical exponent. On one hand, such an equation generalizes the traditional Schrodinger-Newton and Choquard equations, while, on the other hand, it is naturally related to problems involving scalar curvature and conformal deformation of metrics.
Keywords
Cite
@article{arxiv.1302.3780,
title = {Some a priori estimates for a critical Schrodinger-Newton equation},
author = {Marcelo M. Disconzi},
journal= {arXiv preprint arXiv:1302.3780},
year = {2014}
}