{"created":"2023-06-26T11:01:50.971454+00:00","id":2607,"links":{},"metadata":{"_buckets":{"deposit":"20011f03-a16d-4d9d-ac5b-0a772aed90b5"},"_deposit":{"created_by":31,"id":"2607","owners":[31],"pid":{"revision_id":0,"type":"depid","value":"2607"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00002607","sets":["6:212"]},"author_link":["16939","16940"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-12-22","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicPageEnd":"2076","bibliographicPageStart":"2039","bibliographicVolumeNumber":"22","bibliographic_titles":[{},{"bibliographic_title":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Liu, Qing"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Zhou, Xiaodan"}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"This paper introduces in a natural way a notion of horizontal convex envelopes of continuous functions in the Heisenberg group. We provide a convexification process to find the envelope in a constructive manner. We also apply the convexification process to show h-convexity of viscosity solutions to a class of fully nonlinear elliptic equations in the Heisenberg group satisfying a certain symmetry condition. Our examples show that in general one cannot expect h-convexity of solutions without the symmetry condition.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Scuola Normale Superiore"}]},"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/10.2422/2036-2145.201907_001","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://journals.sns.it/index.php/annaliscienze/article/view/886","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2022 The Author(s)"}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2036-2145","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"0391-173X","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":"2022-03-29"}],"displaytype":"detail","filename":"envelopePDE0424-am.pdf","filesize":[{"value":"400.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"envelopePDE0424-am","url":"https://oist.repo.nii.ac.jp/record/2607/files/envelopePDE0424-am.pdf"},"version_id":"a5f135ed-68d7-4d53-9081-a2a3ae366e0f"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Heisenberg group","subitem_subject_scheme":"Other"},{"subitem_subject":"h-convex","subitem_subject_scheme":"Other"},{"subitem_subject":"viscosity solutions","subitem_subject_scheme":"Other"}]},"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":"Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"31","path":["212"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-03-29"},"publish_date":"2022-03-29","publish_status":"0","recid":"2607","relation_version_is_last":true,"title":["Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations"],"weko_creator_id":"31","weko_shared_id":31},"updated":"2023-06-26T11:28:07.714891+00:00"}