{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:48:22Z","timestamp":1777448902022,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2011,8,1]],"date-time":"2011-08-01T00:00:00Z","timestamp":1312156800000},"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":[[2011,8]]},"abstract":"<jats:p>In this work we discuss existence, uniqueness and asymptotic profiles of positive solutions to the quasilinear problem<\/jats:p>\n                  <jats:p>\n                    \u2003\u2212\u0394\n                    <jats:sub>p<\/jats:sub>\n                    u+a(x)u\n                    <jats:sup>p\u22121<\/jats:sup>\n                    =\u2212u\n                    <jats:sup>r<\/jats:sup>\n                    \u2003in \u03a9,\n                  <\/jats:p>\n                  <jats:p>\n                    \u2003|\u2207u|\n                    <jats:sup>p\u22122<\/jats:sup>\n                    \u2009\u2202u\/\u2202\u03bd=\u03bbu\n                    <jats:sup>p\u22121<\/jats:sup>\n                    \u2003on \u2202\u03a9\n                  <\/jats:p>\n                  <jats:p>\n                    for \u03bb\u2208R, where r&gt;p\u22121&gt;0, a\u2208L\n                    <jats:sup>\u221e<\/jats:sup>\n                    (\u03a9). We analyze the existence of solutions in terms of a principal eigenvalue, and determine their asymptotic behavior both when r\u2192p\u22121 and when r\u2192\u221e.\n                  <\/jats:p>","DOI":"10.3233\/asy-2011-1035","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:17:04Z","timestamp":1575055024000},"page":"147-168","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Limit cases in an elliptic problem with a parameter-dependent boundary condition"],"prefix":"10.1177","volume":"73","author":[{"given":"Jorge","family":"Garc\u00eda-Meli\u00e1n","sequence":"first","affiliation":[{"name":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de La Laguna, C\/. Astrof\u00edsico Francisco S\u00e1nchez s\/n, 38271 La Laguna, Spain. E-mails: jjgarmel@ull.es, josabina@ull.es"},{"name":"Instituto Universitario de Estudios Avanzados en F\u00edsica Atomica, Molecular y Fotonica, Facultad de F\u00edsica, Universidad de La Laguna, C\/. Astrof\u00edsico Francisco S\u00e1nchez s\/n, 38203 La Laguna, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Julio D.","family":"Rossi","sequence":"additional","affiliation":[{"name":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de Alicante, Ap. correos 99, 03080 Alicante, Spain. E-mail: jrossi@dm.uba.ar"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jos\u00e9 C.","family":"Sabina de Lis","sequence":"additional","affiliation":[{"name":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad de La Laguna, C\/. Astrof\u00edsico Francisco S\u00e1nchez s\/n, 38271 La Laguna, Spain. E-mails: jjgarmel@ull.es, josabina@ull.es"},{"name":"Instituto Universitario de Estudios Avanzados en F\u00edsica Atomica, Molecular y Fotonica, Facultad de F\u00edsica, Universidad de La Laguna, C\/. Astrof\u00edsico Francisco S\u00e1nchez s\/n, 38203 La Laguna, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2011,8,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1035","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2011-1035","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:20Z","timestamp":1777379960000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2011-1035"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,8]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2011,8]]}},"alternative-id":["10.3233\/ASY-2011-1035"],"URL":"https:\/\/doi.org\/10.3233\/asy-2011-1035","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,8]]}}}