Sobolev Trace Inequalities
经典分析与常微分方程
2007-05-23 v1 偏微分方程分析
摘要
The existence of extremal functions for the Sobolev trace inequalities is studied using the concentration compactness theorem. The conjectured extremal, the function of conformal factor, is considered and is proved to be an actual extremal function with extra symmetry condition on functions. One of the limiting cases of the Sobolev trace inequalities is investigated and the best constant for this case is computed.
引用
@article{arxiv.math/0107065,
title = {Sobolev Trace Inequalities},
author = {Young Ja Park},
journal= {arXiv preprint arXiv:math/0107065},
year = {2007}
}
备注
16 pages