Remarks on a Sobolev-Hardy inequality
偏微分方程分析
2007-05-23 v3
摘要
We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some optimal functions. This inequality was motivated by a nonlinear elliptic equation arising in astrophysics.
引用
@article{arxiv.math/0212083,
title = {Remarks on a Sobolev-Hardy inequality},
author = {S. Secchi and D. Smets and M. Willem},
journal= {arXiv preprint arXiv:math/0212083},
year = {2007}
}
备注
5 pages