Adam's Inequality on the Hyperbolic space
Analysis of PDEs
2015-07-21 v2
Abstract
In this article we establish an Adam's Inequality in the Hyperbolic space. As an application we will also prove the asymptotic behaviour of the best constants in the Sobolev inequality and also discuss the solvability of Q curvature type PDE's in the Hyperbolic space.
Keywords
Cite
@article{arxiv.1506.04026,
title = {Adam's Inequality on the Hyperbolic space},
author = {Debabrata Karmakar and Kunnath Sandeep},
journal= {arXiv preprint arXiv:1506.04026},
year = {2015}
}