A rearrangement based proof for the existence of extremal functions for the Sobolev-Poincare inequality on B-n

作者：Leckband Mark^*

来源：Journal of Mathematical Analysis and Applications, 2010, 363(2): 690-696.

DOI：10.1016/j.jmaa.2009.09.050

• Rearrangement
• Sobolev-Poincare inequality
• Extremals

Existence of extremals for 1 < p <= n+1/2 is shown for the Sobolev-Poincare inequality on B-n using a mean-value zero preserving rearrangement.

• 出版日期2010-3-15