{"abstract":[{"lang":"eng","text":"We consider two-dimensional Bose-Einstein condensates with attractive interaction, described by the Gross-Pitaevskii functional. Minimizers of this functional exist only if the interaction strength a satisfies {Mathematical expression}, where Q is the unique positive radial solution of {Mathematical expression} in {Mathematical expression}. We present a detailed analysis of the behavior of minimizers as a approaches a*, where all the mass concentrates at a global minimum of the trapping potential."}],"day":"01","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1301.5682"}],"publisher":"Springer","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"journal_article","intvolume":"       104","title":"On the mass concentration for Bose-Einstein condensates with attractive interactions","oa":1,"publist_id":"4653","article_type":"original","quality_controlled":"1","date_published":"2014-02-01T00:00:00Z","external_id":{"arxiv":["1301.5682"]},"article_processing_charge":"No","doi":"10.1007/s11005-013-0667-9","citation":{"chicago":"Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” <i>Letters in Mathematical Physics</i>. Springer, 2014. <a href=\"https://doi.org/10.1007/s11005-013-0667-9\">https://doi.org/10.1007/s11005-013-0667-9</a>.","ieee":"Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates with attractive interactions,” <i>Letters in Mathematical Physics</i>, vol. 104, no. 2. Springer, pp. 141–156, 2014.","ama":"Guo Y, Seiringer R. On the mass concentration for Bose-Einstein condensates with attractive interactions. <i>Letters in Mathematical Physics</i>. 2014;104(2):141-156. doi:<a href=\"https://doi.org/10.1007/s11005-013-0667-9\">10.1007/s11005-013-0667-9</a>","mla":"Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” <i>Letters in Mathematical Physics</i>, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:<a href=\"https://doi.org/10.1007/s11005-013-0667-9\">10.1007/s11005-013-0667-9</a>.","ista":"Guo Y, Seiringer R. 2014. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 104(2), 141–156.","short":"Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.","apa":"Guo, Y., &#38; Seiringer, R. (2014). On the mass concentration for Bose-Einstein condensates with attractive interactions. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-013-0667-9\">https://doi.org/10.1007/s11005-013-0667-9</a>"},"status":"public","_id":"2281","page":"141 - 156","publication":"Letters in Mathematical Physics","author":[{"first_name":"Yujin","last_name":"Guo","full_name":"Guo, Yujin"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"department":[{"_id":"RoSe"}],"date_created":"2018-12-11T11:56:44Z","date_updated":"2024-02-14T12:19:42Z","year":"2014","volume":104,"issue":"2","language":[{"iso":"eng"}],"scopus_import":"1","oa_version":"Preprint","publication_status":"published","month":"02"}