{"OA_place":"repository","date_updated":"2025-09-30T14:27:35Z","scopus_import":"1","title":"Stability estimate for the Lane–Emden inequality","quality_controlled":"1","doi":"10.1007/s00526-025-03062-x","month":"09","oa":1,"language":[{"iso":"eng"}],"oa_version":"Preprint","type":"journal_article","article_number":"226","article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2410.20113"}],"external_id":{"isi":["001558641300006"],"arxiv":["2410.20113"]},"abstract":[{"lang":"eng","text":"The Lane–Emden inequality controls (math. formular) in terms of the L^1 and L^p norms of p. We provide a remainder estimate for this inequality in terms of a suitable distance of p to the manifold of optimizers."}],"OA_type":"green","author":[{"last_name":"Carlen","full_name":"Carlen, Eric","first_name":"Eric"},{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"first_name":"Elliott H.","full_name":"Lieb, Elliott H.","last_name":"Lieb"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"date_created":"2025-08-31T22:01:31Z","publisher":"Springer Nature","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","department":[{"_id":"RoSe"}],"date_published":"2025-09-01T00:00:00Z","arxiv":1,"article_type":"original","_id":"20251","year":"2025","status":"public","publication_identifier":{"issn":["0944-2669"],"eissn":["1432-0835"]},"citation":{"ieee":"E. Carlen, M. Lewin, E. H. Lieb, and R. Seiringer, “Stability estimate for the Lane–Emden inequality,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 64, no. 7. Springer Nature, 2025.","mla":"Carlen, Eric, et al. “Stability Estimate for the Lane–Emden Inequality.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 64, no. 7, 226, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s00526-025-03062-x\">10.1007/s00526-025-03062-x</a>.","chicago":"Carlen, Eric, Mathieu Lewin, Elliott H. Lieb, and Robert Seiringer. “Stability Estimate for the Lane–Emden Inequality.” <i>Calculus of Variations and Partial Differential Equations</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00526-025-03062-x\">https://doi.org/10.1007/s00526-025-03062-x</a>.","short":"E. Carlen, M. Lewin, E.H. Lieb, R. Seiringer, Calculus of Variations and Partial Differential Equations 64 (2025).","apa":"Carlen, E., Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2025). Stability estimate for the Lane–Emden inequality. <i>Calculus of Variations and Partial Differential Equations</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00526-025-03062-x\">https://doi.org/10.1007/s00526-025-03062-x</a>","ista":"Carlen E, Lewin M, Lieb EH, Seiringer R. 2025. Stability estimate for the Lane–Emden inequality. Calculus of Variations and Partial Differential Equations. 64(7), 226.","ama":"Carlen E, Lewin M, Lieb EH, Seiringer R. Stability estimate for the Lane–Emden inequality. <i>Calculus of Variations and Partial Differential Equations</i>. 2025;64(7). doi:<a href=\"https://doi.org/10.1007/s00526-025-03062-x\">10.1007/s00526-025-03062-x</a>"},"issue":"7","acknowledgement":"We are grateful to Rupert Frank and Enno Lenzmann for helpful discussions.","intvolume":"        64","publication":"Calculus of Variations and Partial Differential Equations","isi":1,"volume":64,"publication_status":"published","day":"01"}