| dc.contributor.author | Hynd, Ryan | |
| dc.contributor.author | Yu, Yifeng | |
| dc.contributor.author | Smart, Charles | |
| dc.date.accessioned | 2016-10-19T17:40:40Z | |
| dc.date.available | 2016-10-19T17:40:40Z | |
| dc.date.issued | 2012-10 | |
| dc.date.submitted | 2012-07 | |
| dc.identifier.issn | 0944-2669 | |
| dc.identifier.issn | 1432-0835 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/104852 | |
| dc.description.abstract | In this paper, we construct a dumbbell domain for which the associated principal [infinity symbol]-eigenvalue is not simple. This gives a negative answer to the outstanding problem posed in Juutinen et al. (Arch Ration Mech Anal 148(2):89–105, 1999; The infinity Laplacian: examples and observations, 2001). It remains a challenge to determine whether simplicity holds for convex domains. | en_US |
| dc.publisher | Springer-Verlag | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Nonuniqueness of infinity ground states | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Hynd, Ryan, Charles K. Smart, and Yifeng Yu. “Nonuniqueness of Infinity Ground States.” Calculus of Variations and Partial Differential Equations, vol. 48, no. 3–4 (October 2012), pp. 545–554. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Smart, Charles | |
| dc.relation.journal | Calculus of Variations and Partial Differential Equations | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2016-08-18T15:28:22Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer-Verlag Berlin Heidelberg | |
| dspace.orderedauthors | Hynd, Ryan; Smart, Charles K.; Yu, Yifeng | en_US |
| dspace.embargo.terms | N | en |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
