{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:48:10Z","timestamp":1777448890920,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2011,5,1]],"date-time":"2011-05-01T00:00:00Z","timestamp":1304208000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2011,5]]},"abstract":"<jats:p>In this paper we give a detailed asymptotic formula for the lowest eigenvalue of the magnetic Neumann Schr\u00f6dinger operator in the ball in three dimensions with constant magnetic field, as the strength of the magnetic field tends to infinity. This asymptotic formula is used to prove that the eigenvalue is monotonically increasing for large values of the magnetic field.<\/jats:p>","DOI":"10.3233\/asy-2010-1023","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:15:40Z","timestamp":1575054940000},"page":"77-123","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Strong diamagnetism for the ball in three dimensions"],"prefix":"10.1177","volume":"72","author":[{"given":"S\u00f8ren","family":"Fournais","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Aarhus University, 1530 Ny Munkegade, 8000 Aarhus C, Denmark. E-mails: fournais@imf.au.dk, mickep@imf.au.dk"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mikael","family":"Persson","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Aarhus University, 1530 Ny Munkegade, 8000 Aarhus C, Denmark. E-mails: fournais@imf.au.dk, mickep@imf.au.dk"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2011,5,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1023","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1023","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:18Z","timestamp":1777379958000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2010-1023"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,5]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2011,5]]}},"alternative-id":["10.3233\/ASY-2010-1023"],"URL":"https:\/\/doi.org\/10.3233\/asy-2010-1023","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,5]]}}}