Weighted Sobolev spaces of radially symmetric functions
Analysis of PDEs
2014-01-28 v3
Abstract
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weights that are powers of the distance from the origin. Then we discuss the existence of extremals and in some cases we compute the best constants.
Keywords
Cite
@article{arxiv.1206.6957,
title = {Weighted Sobolev spaces of radially symmetric functions},
author = {Roberta Musina},
journal= {arXiv preprint arXiv:1206.6957},
year = {2014}
}
Comments
38 pages