{"_id":"2281","article_type":"original","type":"journal_article","status":"public","date_updated":"2024-02-14T12:19:42Z","department":[{"_id":"RoSe"}],"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."}],"oa_version":"Preprint","main_file_link":[{"url":"http://arxiv.org/abs/1301.5682","open_access":"1"}],"scopus_import":"1","intvolume":" 104","month":"02","publication_status":"published","language":[{"iso":"eng"}],"issue":"2","volume":104,"citation":{"mla":"Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9.","ieee":"Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates with attractive interactions,” Letters in Mathematical Physics, vol. 104, no. 2. Springer, pp. 141–156, 2014.","short":"Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.","ama":"Guo Y, Seiringer R. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 2014;104(2):141-156. doi:10.1007/s11005-013-0667-9","apa":"Guo, Y., & Seiringer, R. (2014). On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-013-0667-9","chicago":"Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-013-0667-9.","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."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1301.5682"]},"article_processing_charge":"No","author":[{"last_name":"Guo","full_name":"Guo, Yujin","first_name":"Yujin"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publist_id":"4653","title":"On the mass concentration for Bose-Einstein condensates with attractive interactions","oa":1,"quality_controlled":"1","publisher":"Springer","year":"2014","publication":"Letters in Mathematical Physics","day":"01","page":"141 - 156","date_created":"2018-12-11T11:56:44Z","doi":"10.1007/s11005-013-0667-9","date_published":"2014-02-01T00:00:00Z"}