{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:49:57Z","timestamp":1777448997356,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2012,10,1]],"date-time":"2012-10-01T00:00:00Z","timestamp":1349049600000},"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":[[2012,10]]},"abstract":"<jats:p>\n                    We consider systems of coupled Schr\u00f6dinger equations which appear in nonlinear optics and binary Bose\u2013Einstein condensation. Namely, we prove that for most \u03bc,\u03bd\u2208R, a,b&gt;0, the system \u2212\u0394u=\u03bcu+au\n                    <jats:sup>3<\/jats:sup>\n                    \u2212\u03b2uv\n                    <jats:sup>2<\/jats:sup>\n                    , \u2212\u0394v=\u03bdv+bv\n                    <jats:sup>3<\/jats:sup>\n                    \u2212\u03b2vu\n                    <jats:sup>2<\/jats:sup>\n                    , u,v\u2208H\n                    <jats:sup>1<\/jats:sup>\n                    <jats:sub>0<\/jats:sub>\n                    (B\n                    <jats:sub>1<\/jats:sub>\n                    (0)), where B\n                    <jats:sub>1<\/jats:sub>\n                    (0) is the unit ball of R\n                    <jats:sup>3<\/jats:sup>\n                    , admits a family of radially symmetric positive solutions (u\n                    <jats:sub>\u03b2<\/jats:sub>\n                    ,v\n                    <jats:sub>\u03b2<\/jats:sub>\n                    ) provided the interaction parameter \u03b2&gt;0 is sufficiently large. By using a Morse index technique we deduce that these solutions are bounded uniformly in \u03b2, hence their limit functions as \u03b2\u2192\u221e undergo the phenomenon of phase segregation.\n                  <\/jats:p>","DOI":"10.3233\/asy-2012-1097","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:23:06Z","timestamp":1575055386000},"page":"1-19","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Existence and bounds for nonlinear Schr\u00f6dinger systems with strong competition"],"prefix":"10.1177","volume":"80","author":[{"given":"Ana Rute","family":"Domingos","sequence":"first","affiliation":[{"name":"CMAF \u2013 Faculty of Science, University of Lisbon, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal. Tel.: +351 217 904 911; Fax: +351 217 954 288; E-mails: {rute, mramos}@ptmat.fc.ul.pt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Miguel","family":"Ramos","sequence":"additional","affiliation":[{"name":"CMAF \u2013 Faculty of Science, University of Lisbon, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal. Tel.: +351 217 904 911; Fax: +351 217 954 288; E-mails: {rute, mramos}@ptmat.fc.ul.pt"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2012,10,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2012-1097","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2012-1097","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:42Z","timestamp":1777379982000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2012-1097"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2012,10]]}},"alternative-id":["10.3233\/ASY-2012-1097"],"URL":"https:\/\/doi.org\/10.3233\/asy-2012-1097","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,10]]}}}