{"id":"https://openalex.org/W4386047609","doi":"https://doi.org/10.1137/22m1520360","title":"Existence of Solutions to a Slightly Supercritical Pure Neumann Problem","display_name":"Existence of Solutions to a Slightly Supercritical Pure Neumann Problem","publication_year":2023,"publication_date":"2023-08-22","ids":{"openalex":"https://openalex.org/W4386047609","doi":"https://doi.org/10.1137/22m1520360"},"language":"en","primary_location":{"id":"doi:10.1137/22m1520360","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1520360","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","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/A5051030991","display_name":"Angela Pistoia","orcid":"https://orcid.org/0000-0002-3108-8493"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Angela Pistoia","raw_affiliation_strings":["Dipartimento di Scienze di Base e Applicate per l\u2019Ingegneria, Sapienza Universita di Roma, 00161 Roma, Italy","Dipartimento di Scienze di Base e Applicate per l'Ingegneria, Sapienza Universita di Roma, 00161 Roma, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze di Base e Applicate per l\u2019Ingegneria, Sapienza Universita di Roma, 00161 Roma, Italy","institution_ids":[]},{"raw_affiliation_string":"Dipartimento di Scienze di Base e Applicate per l'Ingegneria, Sapienza Universita di Roma, 00161 Roma, Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085774303","display_name":"Alberto Salda\u00f1a","orcid":"https://orcid.org/0000-0002-4134-0082"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Alberto Salda\u00f1a","raw_affiliation_strings":["Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Circuito Exterior, Ciudad Universitaria, 04510 Coyoac\u00e1n, Ciudad de M\u00e9xico, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Circuito Exterior, Ciudad Universitaria, 04510 Coyoac\u00e1n, Ciudad de M\u00e9xico, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075571219","display_name":"Hugo Tavares","orcid":"https://orcid.org/0000-0003-1435-7695"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hugo Tavares","raw_affiliation_strings":["Departamento de Matem\u00e1tica do Instituto Superior T\u00e9cnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica do Instituto Superior T\u00e9cnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051030991"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.8296,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.95898988,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"55","issue":"4","first_page":"3844","last_page":"3887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9998999834060669,"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":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.996999979019165,"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/mathematics","display_name":"Mathematics","score":0.8694274425506592},{"id":"https://openalex.org/keywords/supercritical-fluid","display_name":"Supercritical fluid","score":0.7494797706604004},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.5260177254676819},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.5119396448135376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5021452903747559},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.4737547039985657},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.4464711546897888},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4214820861816406},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34954574704170227},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13183042407035828}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8694274425506592},{"id":"https://openalex.org/C118419359","wikidata":"https://www.wikidata.org/wiki/Q682585","display_name":"Supercritical fluid","level":2,"score":0.7494797706604004},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.5260177254676819},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.5119396448135376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5021452903747559},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.4737547039985657},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.4464711546897888},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4214820861816406},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34954574704170227},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13183042407035828},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1520360","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1520360","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1706001","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1706001","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1170672239","display_name":null,"funder_award_id":"PTDC/MAT-PUR/1788/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G4092809543","display_name":null,"funder_award_id":"IA101721","funder_id":"https://openalex.org/F4320335100","funder_display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico"},{"id":"https://openalex.org/G7024317173","display_name":null,"funder_award_id":"UID/MAT/04459/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G8209472037","display_name":null,"funder_award_id":"IA100923","funder_id":"https://openalex.org/F4320335100","funder_display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico"},{"id":"https://openalex.org/G8337252056","display_name":null,"funder_award_id":"A1-S-10457","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"},{"id":"https://openalex.org/F4320335100","display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1546072934","https://openalex.org/W1969789158","https://openalex.org/W1979952726","https://openalex.org/W2004167700","https://openalex.org/W2007780149","https://openalex.org/W2014787728","https://openalex.org/W2015351160","https://openalex.org/W2025853775","https://openalex.org/W2029950070","https://openalex.org/W2030810782","https://openalex.org/W2050242942","https://openalex.org/W2052306585","https://openalex.org/W2056547278","https://openalex.org/W2058711126","https://openalex.org/W2062500263","https://openalex.org/W2073370369","https://openalex.org/W2098404304","https://openalex.org/W2255934294","https://openalex.org/W2273924757","https://openalex.org/W2542293542","https://openalex.org/W2963464528","https://openalex.org/W2963622579","https://openalex.org/W2973782742","https://openalex.org/W3089308226","https://openalex.org/W3124631611","https://openalex.org/W3140864197","https://openalex.org/W4312137698","https://openalex.org/W4312321962"],"related_works":["https://openalex.org/W3196163622","https://openalex.org/W2370685986","https://openalex.org/W2040168466","https://openalex.org/W4388805554","https://openalex.org/W2371292460","https://openalex.org/W2130313128","https://openalex.org/W7632529","https://openalex.org/W2382967792","https://openalex.org/W2316032560","https://openalex.org/W2097734592"],"abstract_inverted_index":{"We":[0],"show":[1],"the":[2,21,31,35,63,73],"existence":[3,23,74],"and":[4,75],"multiplicity":[5,76],"of":[6,28,42,46,77],"concentrating":[7],"solutions":[8,36,78],"to":[9,49,79],"a":[10,17,39,57],"pure":[11],"Neumann":[12,81],"slightly":[13],"supercritical":[14,32],"problem":[15,29],"in":[16,30,83],"ball.":[18],"This":[19],"is":[20],"first":[22],"result":[24],"for":[25],"this":[26],"kind":[27],"regime.":[33],"Since":[34],"must":[37],"satisfy":[38],"compatibility":[40],"condition":[41,65],"zero":[43],"average,":[44],"all":[45],"them":[47],"have":[48],"change":[50],"sign.":[51],"Our":[52,69],"proofs":[53],"are":[54,91],"based":[55],"on":[56],"Lyapunov-Schmidt":[58],"reduction":[59],"argument":[60],"which":[61],"incorporates":[62],"zero-average":[64],"using":[66],"suitable":[67],"symmetries.":[68],"approach":[70],"also":[71,92],"guarantees":[72],"subcritical":[80],"problems":[82],"annuli.":[84],"More":[85],"general":[86],"symmetric":[87],"domains":[88],"(e.g.,":[89],"ellipsoids)":[90],"discussed.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
