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Published July 2015 | Version Submitted
Journal Article Open

Weak perturbations of the p-Laplacian

Creators

  • 1. ROR icon Royal Institute of Technology
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon University of Brescia

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.

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Submitted - 1312.5191v2.pdf

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Additional details

Identifiers

Eprint ID
58000
Resolver ID
CaltechAUTHORS:20150604-085020731

Related works

Describes
http://arxiv.org/abs/1312.5191 (URL)

Funding

Swedish Research Council
FS-2009-493
NSF
PHY-1347399
Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)
PRIN08

Dates

Created
2015-06-04
Created from EPrint's datestamp field
Updated
2021-11-10
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department