{"created":"2021-03-01T06:59:30.872020+00:00","id":39958,"links":{},"metadata":{"_buckets":{"deposit":"04fcbdd8-d52b-4ed0-8e52-2402a155bb49"},"_deposit":{"id":"39958","owners":[],"pid":{"revision_id":0,"type":"depid","value":"39958"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00039958","sets":["312:6865:6873:6877","9:504:6868:6875:6878"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2015-07-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"739","bibliographicPageStart":"685","bibliographicVolumeNumber":"22","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We are interested in the structure of the positive radial solutions of the supercritical Neumann problem in a unit ball ε2(U''+ N−1/r U) − U + Up = 0, 0 < r < 1, U'(1) = 0, U >0, 0 < r < 1, where N is the spatial dimension and p > pS := (N + 2)/(N − 2), N ≥ 3. We showthat there exists a sequence {ε∗n}∞n=1 (ε∗1 > ε∗2 > ···→0) such that this problem has infinitely many singular solutions {(ε∗n, U∗n)}∞n=1 ⊂ R×(C2(0, 1)∩C1(0, 1]) and that the nonconstant regular solutions consist of infinitely many smooth curves in the (ε,U(0))- plane. It is shown that each curve blows up at ε∗n and if pS < p < pJL, then each curve has infinitely many turning points around ε∗n. Here, pJL := 1 + 4/N−4−2√N−1 (N ≥ 11), ∞ (2 ≤ N ≤ 10). In particular, the problem has infinitely many solutions if ε ∈ {ε∗n}∞n=1. We also showthat there exists ¯ε > 0 such that the problem has no nonconstant regular solution if ε > ¯ε. The main technical tool is the intersection number between the regular and singular solutions.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"35J25(MSC2010)"},{"subitem_text_value":"25B32(MSC2010)"},{"subitem_text_value":"34C23(MSC2010)"},{"subitem_text_value":"34C10(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2013-12-04"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Miyamoto, Yasuhito"}],"nameIdentifiers":[{"nameIdentifier":"92366","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-14"}],"displaytype":"detail","filename":"jms220303.pdf","filesize":[{"value":"343.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms220303.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/39958/files/jms220303.pdf"},"version_id":"370a9cf4-911e-431a-8557-114a7857ce25"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Global bifurcation diagram","subitem_subject_scheme":"Other"},{"subitem_subject":"intersection number","subitem_subject_scheme":"Other"},{"subitem_subject":"singular solution","subitem_subject_scheme":"Other"},{"subitem_subject":"Joseph-Lundgren exponent","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Structure of the Positive Radial Solutions for the Supercritical Neumann Problem ε2Δu − u + up = 0 in a Ball","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Structure of the Positive Radial Solutions for the Supercritical Neumann Problem ε2Δu − u + up = 0 in a Ball"}]},"item_type_id":"4","owner":"1","path":["6877","6878"],"pubdate":{"attribute_name":"公開日","attribute_value":"2016-07-19"},"publish_date":"2016-07-19","publish_status":"0","recid":"39958","relation_version_is_last":true,"title":["Structure of the Positive Radial Solutions for the Supercritical Neumann Problem ε2Δu − u + up = 0 in a Ball"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:46.693097+00:00"}