Extremals For Fractional Order Hardy-Sobolev-Maz'ya Inequality
Analysis of PDEs
2018-04-11 v2 Functional Analysis
Abstract
In this article, we derive the existence of positive solutions of a semi-linear, non-local elliptic PDE, involving a singular perturbation of the fractional laplacian, coming from the fractional Hardy-Sobolev-Maz'ya inequality, derived in this paper. We also derive symmetry properties and a precise asymptotic behaviour of solutions.
Keywords
Cite
@article{arxiv.1802.05496,
title = {Extremals For Fractional Order Hardy-Sobolev-Maz'ya Inequality},
author = {Arka Mallick},
journal= {arXiv preprint arXiv:1802.05496},
year = {2018}
}