{"id":"https://openalex.org/W2163492075","doi":"https://doi.org/10.1112/jlms/jdv003","title":"Boundary behavior of positive solutions to nonlinear elliptic equations with Hardy potential","display_name":"Boundary behavior of positive solutions to nonlinear elliptic equations with Hardy potential","publication_year":2015,"publication_date":"2015-03-23","ids":{"openalex":"https://openalex.org/W2163492075","doi":"https://doi.org/10.1112/jlms/jdv003","mag":"2163492075"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdv003","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdv003","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087725227","display_name":"Yihong Du","orcid":"https://orcid.org/0000-0002-1235-0636"},"institutions":[{"id":"https://openalex.org/I90745801","display_name":"University of New England","ror":"https://ror.org/04r659a56","country_code":"AU","type":"education","lineage":["https://openalex.org/I90745801"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Yihong Du","raw_affiliation_strings":["School of Science and Technology, University of New England, Armidale, NSW 2351, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Technology, University of New England, Armidale, NSW 2351, Australia","institution_ids":["https://openalex.org/I90745801"]}]},{"author_position":"last","author":{"id":null,"display_name":"Lei Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Wei","raw_affiliation_strings":["School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China, [email protected]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China, [email protected]","institution_ids":["https://openalex.org/I118574674"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087725227"],"corresponding_institution_ids":["https://openalex.org/I90745801"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":1.4652,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80788421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"91","issue":"3","first_page":"731","last_page":"749"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.806171178817749},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.670989453792572},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6484389305114746},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5851866006851196},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5619962215423584},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5472908616065979},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4877358376979828},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4537109434604645},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45180219411849976},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4168395400047302},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2156103253364563}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.806171178817749},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.670989453792572},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6484389305114746},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5851866006851196},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5619962215423584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5472908616065979},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4877358376979828},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4537109434604645},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45180219411849976},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4168395400047302},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2156103253364563},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1112/jlms/jdv003","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdv003","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:rune.une.edu.au:1959.11/18392","is_oa":false,"landing_page_url":"https://hdl.handle.net/1959.11/18392","pdf_url":null,"source":{"id":"https://openalex.org/S7407055448","display_name":"RUNE (Research UNE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W94258302","https://openalex.org/W1687972105","https://openalex.org/W1984943284","https://openalex.org/W1988368551","https://openalex.org/W1988538708","https://openalex.org/W2018459062","https://openalex.org/W2021894352","https://openalex.org/W2035398379","https://openalex.org/W2041547393","https://openalex.org/W2176110074","https://openalex.org/W2293078581","https://openalex.org/W2468816715","https://openalex.org/W3101158169","https://openalex.org/W4235703691","https://openalex.org/W4238094995","https://openalex.org/W6603823196","https://openalex.org/W6685609082"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2006389905","https://openalex.org/W2964287305"],"abstract_inverted_index":{"In":[0],"this":[1,107],"paper,":[2],"we":[3,164,258,291],"study":[4],"the":[5,12,60,96,154,158,180,188,261,294,339],"boundary":[6,295],"behavior":[7],"of":[8,11,100,103,160],"positive":[9,104,151,185,277,330],"solutions":[10,105],"following":[13],"equation:":[14],"\u2212":[15,26,83,217,223,230,233,238,241,247,298,309],"\u0394":[16,299],"u":[17,20,27,207,300,303,310,320],"=":[18,226,301,321],"\u03bb":[19,71,91,136,175,227,266,268,272,287,302],"d":[21,29,54,201,211,304,312],"(":[22,30,44,55,64,82,202,208,212,215,221,245,305,313],"x":[23,31,35,56,65,203,209,213,306,314],")":[24,32,48,57,69,87,204,210,214,219,225,249,307,315],"2":[25,47,86,216,229,237,308],"p":[28,76,222,232,240,246,311],"\u03c3":[33,80,218,231,239,316],",":[34,38,66,70,75,85,95,140,179,270,290,319],"\u2208":[36,72,81],"\u03a9":[37,40,68,168,194,318,326],"where":[39,271],"\u2282":[41],"R":[42,73],"N":[43,45],"\u2a7e":[46,288],"is":[49,142,156,169,263,274,336],"a":[50,150,170,183,252,275,328],"smooth":[51,254],"bounded":[52,255],"domain,":[53],"stands":[58],"for":[59,173,265,285],"distance":[61],"function":[62],"dist":[63],"\u2202":[67,193,325],"1":[74,78,93,138,177,224,234,235,242,243,248,281],">":[77,137,176,267],"and":[79,98,115,153,187,332],"\u221e":[84,323],"are":[88],"constants.":[89],"When":[90],"\u2a7d":[92],"4":[94,139,178,282],"existence":[97],"nonexistence":[99],"several":[101],"kinds":[102],"to":[106,121,144],"equation":[108,181],"were":[109],"studied":[110],"recently":[111],"by":[112,199,338],"Bandle,":[113],"Moroz":[114],"Reichel":[116],"[\u2018Boundary":[117],"blowup":[118],"type":[119],"sub-solutions":[120],"semilinear":[122],"elliptic":[123],"equations":[124],"with":[125,195],"Hardy":[126],"potential\u2019,":[127],"J.":[128],"London":[129],"Math.":[130],"Soc.":[131],"77":[132],"(2008)":[133],"503\u2013523].":[134],"For":[135,251],"it":[141],"easy":[143],"show":[145,165,292],"that":[146,166,260,293],"there":[147],"always":[148],"exists":[149],"solution,":[152,186,331],"question":[155],"about":[157],"classification":[159],"such":[161],"solutions.":[162],"Here,":[163],"if":[167],"ball,":[171],"then":[172],"every":[174,286],"has":[182],"unique":[184,329],"solution":[189],"must":[190],"blow-up":[191,196,296,334],"at":[192],"rate":[197,335],"given":[198],"lim":[200],"\u2192":[205],"0":[206,289],"/":[220,244],"+":[228,236,322],".":[250],"general":[253],"domain":[256],"\u03a9,":[257],"prove":[259],"same":[262,340],"true":[264],"*":[269,273],"certain":[276],"constant":[278],"greater":[279],"than":[280],";":[283],"moreover,":[284],"problem":[297],"in":[317],"on":[324],"possesses":[327],"its":[333],"determined":[337],"identity":[341],"above.":[342]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}