{"created":"2023-06-26T11:01:18.413471+00:00","id":1983,"links":{},"metadata":{"_buckets":{"deposit":"7e84cc7a-0f34-410a-9197-984ecf3da119"},"_deposit":{"created_by":27,"id":"1983","owners":[27],"pid":{"revision_id":0,"type":"depid","value":"1983"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00001983","sets":["6:193"]},"author_link":["12993","12992"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-10-06","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{},{"bibliographic_title":"Quarterly of Applied Mathematics","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Spector, Daniel E."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Spector, Scott J."}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"In this note two results are established for energy functionals that are given by the integral of W(x,∇u(x)) over Ω⊂Rn with ∇u∈BMO(Ω;RN×n), the space of functions of Bounded Mean Oscillation of John & Nirenberg. A version of Taylor's theorem is first shown to be valid provided the integrand W has polynomial growth. This result is then used to demonstrate that, for the Dirichlet, Neumann, and mixed problems, every Lipschitz-continuous solution of the corresponding Euler-Lagrange equations at which the second variation of the energy is uniformly positive is a strict local minimizer of the energy in W1,BMO(Ω;RN), the subspace of the Sobolev space W1,1(Ω;RN) for which the weak derivative ∇u∈BMO(Ω;RN×n). ","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"American Mathematical Society"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1090/qam/1586","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_17":{"attribute_name":"Related site","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://www.ams.org/journals/qam/0000-000-00/S0033-569X-2020-01586-X/","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2020 Brown University"},{"subitem_rights":"First published in Quart. Appl. Math. (October 2020), published by the American Mathematical Society."}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0033-569X","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"1552-4485","subitem_source_identifier_type":"ISSN"}]},"item_10001_version_type_20":{"attribute_name":"Author's flag","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-03-18"}],"displaytype":"detail","filename":"Spectors-BMO-R1.pdf","filesize":[{"value":"111.3 kB"}],"format":"application/pdf","license_note":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International(https://creativecommons.org/licenses/by-nc-nd/4.0/)","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Spectors-BMO-R1","url":"https://oist.repo.nii.ac.jp/record/1983/files/Spectors-BMO-R1.pdf"},"version_id":"f5529fb5-bff2-48aa-a0f3-8ddeb8bc77e9"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Taylor’s theorem for functionals on BMO with application to BMO local minimizers","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Taylor’s theorem for functionals on BMO with application to BMO local minimizers","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"27","path":["193"],"pubdate":{"attribute_name":"公開日","attribute_value":"2021-03-18"},"publish_date":"2021-03-18","publish_status":"0","recid":"1983","relation_version_is_last":true,"title":["Taylor’s theorem for functionals on BMO with application to BMO local minimizers"],"weko_creator_id":"27","weko_shared_id":27},"updated":"2023-06-26T11:39:29.089980+00:00"}