Published July 2015
| Submitted
Journal Article
Open
Weak perturbations of the p-Laplacian
- Creators
- Ekholm, Tomas
-
Frank, Rupert L.
- Kovařík, Hynek
Abstract
We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p>d and p=d and discuss the connection with Sobolev interpolation inequalities.
Additional Information
© 2014 Springer-Verlag Berlin Heidelberg. Received: 18 December 2013; Accepted: 20 July 2014; Published online: 2 September 2014. Financial support through Swedish research council grant FS-2009-493 (T. E.), US National Science Foundation grant PHY-1347399 (R. F.) and grant MIUR-PRIN08 grant for the project "Trasporto ottimo dimassa, disuguaglianze geometriche e funzionali e applicazioni" (H. K.) is acknowledged.Attached Files
Submitted - 1312.5191v2.pdf
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1312.5191v2.pdf
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Additional details
- Eprint ID
- 58000
- Resolver ID
- CaltechAUTHORS:20150604-085020731
- FS-2009-493
- Swedish Research Council
- PHY-1347399
- NSF
- PRIN08
- Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)
- Created
-
2015-06-04Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field