Published December 2014
| Submitted
Journal Article
Open
Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems
Chicago
An error occurred while generating the citation.
Abstract
In this paper we study the existence of maximizers for two families of interpolation inequalities, namely a generalized Gagliardo–Nirenberg inequality and a new inequality involving the Riesz energy. Two basic tools in our argument are a generalization of Lieb's Translation Lemma and a Riesz energy version of the Brézis–Lieb lemma.
Additional Information
© 2014 Springer-Verlag Berlin Heidelberg. Received: 28 August 2013; Revised: 9 April 2014; Published online: 9 May 2014. FIRB2012 'Dinamiche dispersive: analisi di Fourier e metodi variazionali' (J.B., N.V.) and PRIN2009 'Metodi Variazionali e Topologici nello Studio di Fenomeni non Lineari' (J.B.) and U.S. National Science Foundation grants PHY-1068285 and PHY-1347399 (R.F.) are acknowledged. The authors would like to thank E. Lieb and G. Ponce for useful discussions.Attached Files
Submitted - 1308.5612v1.pdf
Files
1308.5612v1.pdf
Files
(243.7 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:cdb422ac6cfbbdb54c0a5af54f9a2339
|
243.7 kB | Preview Download |
Additional details
- Eprint ID
- 52577
- DOI
- 10.1007/s00208-014-1046-2
- Resolver ID
- CaltechAUTHORS:20141211-085533969
- Ministero dell'Istruzione, dell'Università della Ricerca (MIUR)
- FIRB2012
- Ministero dell'Istruzione, dell'Università della Ricerca (MIUR)
- PRIN2009
- NSF
- PHY-1068285
- NSF
- PHY-1347399
- Created
-
2014-12-11Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field