{"id":"https://openalex.org/W7169780322","doi":"https://doi.org/10.1016/j.jde.2026.114891","title":"Geometric uniqueness of positive radial solutions for singular p-Laplacian equations on annuli","display_name":"Geometric uniqueness of positive radial solutions for singular p-Laplacian equations on annuli","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7169780322","doi":"https://doi.org/10.1016/j.jde.2026.114891"},"language":"en","primary_location":{"id":"doi:10.1016/j.jde.2026.114891","doi":"https://doi.org/10.1016/j.jde.2026.114891","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jde.2026.114891","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0022039626007989/pdf","source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.sciencedirect.com/science/article/pii/S0022039626007989/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028719492","display_name":"Bevin Maultsby","orcid":"https://orcid.org/0000-0002-4576-8940","observed_orcids":["https://orcid.org/0000-0002-4576-8940"]},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bevin Maultsby","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, United States"],"raw_orcid":"https://orcid.org/0000-0002-4576-8940","affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, United States","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028719492"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":{"value":3550,"currency":"USD","value_usd":3550},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.52835337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"489","issue":null,"first_page":"114891","last_page":"114891"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9984999895095825,"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":0.9984999895095825,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.0005000000237487257,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.00019999999494757503,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/p-laplacian","display_name":"p-Laplacian","score":0.9419999718666077},{"id":"https://openalex.org/keywords/positive-radial-solutions","display_name":"positive radial solutions","score":0.8809999823570251},{"id":"https://openalex.org/keywords/uniqueness","display_name":"uniqueness","score":0.6809999942779541},{"id":"https://openalex.org/keywords/annuli","display_name":"annuli","score":0.8510000109672546},{"id":"https://openalex.org/keywords/critical-sobolev-exponent","display_name":"critical Sobolev exponent","score":0.9760000109672546},{"id":"https://openalex.org/keywords/transversality","display_name":"transversality","score":0.875}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.9244999885559082},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8084999918937683},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6754000186920166},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.5684999823570251},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5037000179290771},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4390999972820282},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.424699991941452},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.41200000047683716},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.41200000047683716},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.40459999442100525},{"id":"https://openalex.org/C155940","wikidata":"https://www.wikidata.org/wiki/Q7886967","display_name":"Uniqueness theorem for Poisson's equation","level":3,"score":0.3977000117301941},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.3968000113964081},{"id":"https://openalex.org/C3018596841","wikidata":"https://www.wikidata.org/wiki/Q7236523","display_name":"Power index","level":2,"score":0.38040000200271606},{"id":"https://openalex.org/C24167531","wikidata":"https://www.wikidata.org/wiki/Q2300767","display_name":"Transversality","level":2,"score":0.3727000057697296},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.3303999900817871},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.3084999918937683},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.30059999227523804},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.28220000863075256},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.27250000834465027},{"id":"https://openalex.org/C2776548862","wikidata":"https://www.wikidata.org/wiki/Q2694495","display_name":"Existence theorem","level":2,"score":0.27140000462532043},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C185644265","wikidata":"https://www.wikidata.org/wiki/Q3711848","display_name":"Sobolev inequality","level":3,"score":0.2651999890804291},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.jde.2026.114891","doi":"https://doi.org/10.1016/j.jde.2026.114891","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jde.2026.114891","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0022039626007989/pdf","source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},{"id":"doi:10.2139/ssrn.7149320","doi":"https://doi.org/10.2139/ssrn.7149320","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7149320","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.1016/j.jde.2026.114891","doi":"https://doi.org/10.1016/j.jde.2026.114891","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jde.2026.114891","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0022039626007989/pdf","source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7169780322.pdf","grobid_xml":"https://content.openalex.org/works/W7169780322.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1500644269","https://openalex.org/W1531701796","https://openalex.org/W1569964927","https://openalex.org/W1691990878","https://openalex.org/W1971142210","https://openalex.org/W1977212986","https://openalex.org/W1995460295","https://openalex.org/W2005440162","https://openalex.org/W2030867465","https://openalex.org/W2031202697","https://openalex.org/W2032900164","https://openalex.org/W2043544383","https://openalex.org/W2090030680","https://openalex.org/W2092795994","https://openalex.org/W2093375972","https://openalex.org/W2223906462","https://openalex.org/W2313627432","https://openalex.org/W2325412313","https://openalex.org/W2332246293","https://openalex.org/W2795572551","https://openalex.org/W3134217381","https://openalex.org/W4240704356","https://openalex.org/W4412965915","https://openalex.org/W4415026708"],"related_works":["https://openalex.org/W2332246293","https://openalex.org/W2098497317","https://openalex.org/W2083973448","https://openalex.org/W2998991052","https://openalex.org/W1500644269","https://openalex.org/W2795572551","https://openalex.org/W2032900164","https://openalex.org/W3132836085","https://openalex.org/W2005440162","https://openalex.org/W4395071000"],"abstract_inverted_index":{"We":[0,49],"prove":[1],"uniqueness":[2,32,53,90],"results":[3],"for":[4,9,34],"positive":[5],"radial":[6],"Dirichlet":[7],"problems":[8],"the":[10,15,25,43,62,66,75,79,87,98,104,126],"\\(p\\)-Laplacian":[11],"on":[12],"annuli":[13],"in":[14,65,86],"singular":[16],"range":[17],"\\(1<p<2\\)":[18],"and":[19,41,89,114],"when":[20,47],"\\(":[21,28],"p=2.":[22],"\\)":[23,31],"For":[24,103],"Lane--Emden":[26],"equation":[27],"-\\Delta_p":[29],"u=u^{q-1},":[30],"holds":[33],"every":[35],"\\(q\\ge2\\)":[36],"with":[37],"\\(q>p,\\)":[38],"up":[39],"to":[40],"including":[42],"critical":[44],"Sobolev":[45],"exponent":[46],"\\(n>p.\\)":[48],"also":[50],"show":[51],"that":[52,94],"persists":[54],"under":[55],"sufficiently":[56],"small":[57],"weighted":[58],"\\(C^1\\)":[59],"perturbations":[60],"of":[61],"pure":[63,105],"power":[64],"strictly":[67],"subcritical":[68],"range.":[69],"The":[70],"proof":[71],"is":[72],"geometric:":[73],"varying":[74],"initial":[76],"momentum":[77],"at":[78],"inner":[80],"boundary":[81,100],"produces":[82],"a":[83,115,121],"shooting":[84],"curve":[85,96],"\\((u,w)\\)-plane,":[88],"follows":[91,108],"by":[92],"proving":[93],"this":[95],"meets":[97],"outer":[99],"condition":[101],"transversely.":[102],"power,":[106],"transversality":[107],"from":[109],"an":[110],"exact":[111],"scaling":[112],"determinant":[113,123],"Pohozaev-type":[116],"trapping":[117],"estimate.":[118],"Under":[119],"perturbation,":[120],"quantitative":[122],"bound":[124],"preserves":[125],"same":[127],"geometric":[128],"mechanism.":[129]},"counts_by_year":[],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2026-07-21T00:00:00"}