{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.08647"}],"tmp":{"short":"CC BY-NC-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png"},"oa":1,"language":[{"iso":"eng"}],"quality_controlled":"1","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","related_material":{"record":[{"id":"9733","relation":"dissertation_contains","status":"public"}]},"intvolume":"        52","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","page":"605-622","day":"12","publication_status":"published","publication":"SIAM Journal on Mathematical Analysis","date_published":"2020-02-12T00:00:00Z","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020"}],"external_id":{"arxiv":["1904.08647 "],"isi":["000546967700022"]},"_id":"9781","volume":52,"author":[{"first_name":"Dario","last_name":"Feliciangeli","full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"doi":"10.1137/19m126284x","publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"abstract":[{"text":"We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum.","lang":"eng"}],"year":"2020","ddc":["510"],"issue":"1","publisher":"Society for Industrial & Applied Mathematics ","article_type":"original","ec_funded":1,"status":"public","department":[{"_id":"RoSe"}],"oa_version":"Preprint","type":"journal_article","citation":{"mla":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1, Society for Industrial &#38; Applied Mathematics , 2020, pp. 605–22, doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>.","ama":"Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. 2020;52(1):605-622. doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>","ieee":"D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1. Society for Industrial &#38; Applied Mathematics , pp. 605–622, 2020.","short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.","ista":"Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.","apa":"Feliciangeli, D., &#38; Seiringer, R. (2020). Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics . <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>","chicago":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics , 2020. <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>."},"date_created":"2021-08-06T07:34:16Z","has_accepted_license":"1","scopus_import":"1","article_processing_charge":"No","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"isi":1,"acknowledgement":"We are grateful for the hospitality at the Mittag-Leffler Institute, where part of this work has been done. The work of the authors was supported by the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme grant 694227.","date_updated":"2023-09-07T13:30:11Z","month":"02","title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball"}