{"_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"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "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": "\u6284\u9332", "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 \u03b52(U\u0027\u0027+ N\u22121/r U) \u2212 U + Up = 0, 0 \u003c r \u003c 1, U\u0027(1) = 0, U \u003e0, 0 \u003c r \u003c 1, where N is the spatial dimension and p \u003e pS := (N + 2)/(N \u2212 2), N \u2265 3. We showthat there exists a sequence {\u03b5\u2217n}\u221en=1 (\u03b5\u22171 \u003e \u03b5\u22172 \u003e \u00b7\u00b7\u00b7\u21920) such that this problem has infinitely many singular solutions {(\u03b5\u2217n, U\u2217n)}\u221en=1 \u2282 R\u00d7(C2(0, 1)\u2229C1(0, 1]) and that the nonconstant regular solutions consist of infinitely many smooth curves in the (\u03b5,U(0))- plane. It is shown that each curve blows up at \u03b5\u2217n and if pS \u003c p \u003c pJL, then each curve has infinitely many turning points around \u03b5\u2217n. Here, pJL := 1 + 4/N\u22124\u22122\u221aN\u22121 (N \u2265 11), \u221e (2 \u2264 N \u2264 10). In particular, the problem has infinitely many solutions if \u03b5 \u2208 {\u03b5\u2217n}\u221en=1. We also showthat there exists \u00af\u03b5 \u003e 0 such that the problem has no nonconstant regular solution if \u03b5 \u003e \u00af\u03b5. The main technical tool is the intersection number between the regular and singular solutions.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "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": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2013-12-04"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Miyamoto, Yasuhito"}], "nameIdentifiers": [{"nameIdentifier": "92366", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms220303.pdf", "filesize": [{"value": "343.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 343500.0, "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": "\u30ad\u30fc\u30ef\u30fc\u30c9", "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": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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 \u03b52\u0394u \u2212 u + up = 0 in a Ball", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Structure of the Positive Radial Solutions for the Supercritical Neumann Problem \u03b52\u0394u \u2212 u + up = 0 in a Ball"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/6873/6877", "9/504/6868/6875/6878"], "permalink_uri": "http://hdl.handle.net/2261/59552", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2016-07-19"}, "publish_date": "2016-07-19", "publish_status": "0", "recid": "39958", "relation": {}, "relation_version_is_last": true, "title": ["Structure of the Positive Radial Solutions for the Supercritical Neumann Problem \u03b52\u0394u \u2212 u + up = 0 in a Ball"], "weko_shared_id": null}