liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds
University of Florence.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2011 (English)In: Journal of differential geometry, ISSN 0022-040X, E-ISSN 1945-743X, Vol. 87, no 3, 469-491 p.Article in journal (Refereed) Published
Abstract [en]

Necessary and sufficient conditions for the discreteness of the Laplacian on a noncompact Riemannian manifold M are established in terms of the isocapacitary function of M. The relevant capacity takes a different form according to whether M has finite or infinite volume. Conditions involving the more standard isoperimetric function of M can also be derived, but they are only sufficient in general, as we demonstrate by concrete examples.

Place, publisher, year, edition, pages
International Press , 2011. Vol. 87, no 3, 469-491 p.
National Category
Natural Sciences
URN: urn:nbn:se:liu:diva-71562ISI: 000295439600002OAI: diva2:450513
Funding Agencies|MUIR||GNAMPA (INdAM)||UK Engineering and Physical Sciences Research Council| EP/F005563/1 |Available from: 2011-10-21 Created: 2011-10-21 Last updated: 2011-11-18

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Maz´ya, Vladimir
By organisation
Applied MathematicsThe Institute of Technology
In the same journal
Journal of differential geometry
Natural Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 64 hits
ReferencesLink to record
Permanent link

Direct link