Sharp Hardy–Sobolev inequalities

By Stathis Filippas, Vladimir G. Maz'ya, A. Tertikas. 2004

50 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/4ce3655341406ce434559cf8376bc3e965dda22f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Rupert L. Frank
2. Michael Loss
3. A. Tertikas
4. Kyril Tintarev
5. Bartłomiej Dyda
6. Stathis Filippas
7. Yanyan Li
8. William Beckner

In Computational Theory and Mathematics

1. A. Tertikas
2. Rupert L. Frank
3. Michael Loss
4. Kyril Tintarev
5. Yanyan Li
6. Junfang Li
7. R. Lewis
8. Giampiero Palatucci

Citations in the corpus

• Hardy-Sobolev-Maz'ya inequalities for arbitrary domains (2011, background): “2 Ω dx≥ KN Z Ω |u| 2N N−2 dx N−2 N . (1.5) We emphasize that the constant KN does not depend on Ω. Hence (1.4) yields (1.2) with a constant independent of Ω, thereby solving the problem posed in [8]. Our proof of (1.5) is constructive and gives an explicit value for KN. We have nothing to say, how”
• On existence of minimizers for the Hardy–Sobolev–Maz’ya inequality (2005, background): “More general results of the form (2) were recently established ([14],[15]).”