{"id":"https://openalex.org/W1125391285","doi":"https://doi.org/10.3233/asy-2009-0943","title":"H-convergence of singular solutions of some Dirichlet problems with terms of order one","display_name":"H-convergence of singular solutions of some Dirichlet problems with terms of order one","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W1125391285","doi":"https://doi.org/10.3233/asy-2009-0943","mag":"1125391285"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2009-0943","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2009-0943","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic 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/A5066349327","display_name":"Lucio Boccardo","orcid":"https://orcid.org/0000-0002-8067-0121"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lucio Boccardo","raw_affiliation_strings":["Dipartimento di Matematica, Piazza A. Moro 2, Roma, Italy. E-mail: boccardo@mat.uniroma1.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Piazza A. Moro 2, Roma, Italy. E-mail: boccardo@mat.uniroma1.it","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063248066","display_name":"Juan Casado\u2010D\u00edaz","orcid":"https://orcid.org/0000-0001-5122-7449"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan Casado-Diaz","raw_affiliation_strings":["Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla, c/Tarfia, s/n, 41012 Sevilla, Spain. E-mail: jcasadod@us.es"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla, c/Tarfia, s/n, 41012 Sevilla, Spain. E-mail: jcasadod@us.es","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.04433634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"64","issue":"3-4","first_page":"239","last_page":"249"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9988999962806702,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9977999925613403,"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/convergence","display_name":"Convergence (economics)","score":0.706666886806488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6488469243049622},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5944958329200745},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5589917302131653},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5000870227813721},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.4744340479373932},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4734741449356079},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46284955739974976},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4517688751220703},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.44437098503112793},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06842172145843506},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.05317524075508118},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.036048829555511475},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.034182190895080566}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.706666886806488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6488469243049622},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5944958329200745},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5589917302131653},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5000870227813721},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.4744340479373932},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4734741449356079},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46284955739974976},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4517688751220703},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.44437098503112793},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06842172145843506},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.05317524075508118},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.036048829555511475},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.034182190895080566},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/asy-2009-0943","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2009-0943","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/10720","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/10720","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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W20979434","https://openalex.org/W1500719120","https://openalex.org/W1547249381","https://openalex.org/W1583569205","https://openalex.org/W1704314495","https://openalex.org/W2005875213","https://openalex.org/W2010279509","https://openalex.org/W2012797268","https://openalex.org/W2462699737","https://openalex.org/W2599579446","https://openalex.org/W3030535682"],"related_works":["https://openalex.org/W1978830096","https://openalex.org/W1514481392","https://openalex.org/W2065169952","https://openalex.org/W220930400","https://openalex.org/W2068031792","https://openalex.org/W2052972422","https://openalex.org/W2020502833","https://openalex.org/W2020122895","https://openalex.org/W892341692","https://openalex.org/W2100405323"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,9],"H-convergence":[3],"of":[4,8],"boundary":[5],"value":[6],"problems":[7],"type":[10],"\u2212div(M":[11],"\u03b5":[12,14,16,18,22,27],"(x)\u2207u":[13],")=\u2212div(u":[15],"E":[17,26],"(x))+f(x),":[19],"in\u03a9,":[20],"u":[21],"=0":[23],"on\u2202\u03a9":[24],"if":[25],"\u2208(L":[28],"2":[29],"(\u03a9))":[30],"N":[31],".":[32]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
