{"id":"https://openalex.org/W2054521121","doi":"https://doi.org/10.1016/j.amc.2012.08.020","title":"One-parameter Dirichlet problems on the Sierpinski gasket","display_name":"One-parameter Dirichlet problems on the Sierpinski gasket","publication_year":2012,"publication_date":"2012-09-08","ids":{"openalex":"https://openalex.org/W2054521121","doi":"https://doi.org/10.1016/j.amc.2012.08.020","mag":"2054521121"},"language":"en","primary_location":{"id":"doi:10.1016/j.amc.2012.08.020","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2012.08.020","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5022866368","display_name":"Brigitte E. Breckner","orcid":"https://orcid.org/0000-0001-8809-642X"},"institutions":[{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Brigitte E. Breckner","raw_affiliation_strings":["Babe\u015f-Bolyai University, Faculty of Mathematics and Computer Science, Kog\u0103lniceanu Str. 1, 400084 Cluj-Napoca, Romania","Babe\u015f-Bolyai University, Faculty of Mathematics and Computer Science, Kogalniceanu str. 1, 400084 Cluj-Napoca, Romania"],"affiliations":[{"raw_affiliation_string":"Babe\u015f-Bolyai University, Faculty of Mathematics and Computer Science, Kog\u0103lniceanu Str. 1, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]},{"raw_affiliation_string":"Babe\u015f-Bolyai University, Faculty of Mathematics and Computer Science, Kogalniceanu str. 1, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105123033","display_name":"Csaba Varga","orcid":"https://orcid.org/0000-0002-2678-665X"},"institutions":[{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Csaba Varga","raw_affiliation_strings":["Babe\u015f-Bolyai University, Faculty of Mathematics and Computer Science, Kog\u0103lniceanu Str. 1, 400084 Cluj-Napoca, Romania","Babe\u015f-Bolyai University, Faculty of Mathematics and Computer Science, Kogalniceanu str. 1, 400084 Cluj-Napoca, Romania"],"affiliations":[{"raw_affiliation_string":"Babe\u015f-Bolyai University, Faculty of Mathematics and Computer Science, Kog\u0103lniceanu Str. 1, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]},{"raw_affiliation_string":"Babe\u015f-Bolyai University, Faculty of Mathematics and Computer Science, Kogalniceanu str. 1, 400084 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022866368"],"corresponding_institution_ids":["https://openalex.org/I3125347698"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.875,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70236513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"219","issue":"4","first_page":"1813","last_page":"1820"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9991999864578247,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9646999835968018,"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/sierpinski-triangle","display_name":"Sierpinski triangle","score":0.8915776014328003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6819570064544678},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5963302850723267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.595085620880127},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.5636993050575256},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5377727746963501},{"id":"https://openalex.org/keywords/gasket","display_name":"Gasket","score":0.5257695317268372},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5176035165786743},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.4990231990814209},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4920179545879364},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37603020668029785},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16804340481758118},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.1603226661682129},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05974012613296509},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0516228973865509}],"concepts":[{"id":"https://openalex.org/C27176706","wikidata":"https://www.wikidata.org/wiki/Q663365","display_name":"Sierpinski triangle","level":3,"score":0.8915776014328003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6819570064544678},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5963302850723267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.595085620880127},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.5636993050575256},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5377727746963501},{"id":"https://openalex.org/C128421294","wikidata":"https://www.wikidata.org/wiki/Q1132541","display_name":"Gasket","level":2,"score":0.5257695317268372},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5176035165786743},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.4990231990814209},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4920179545879364},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37603020668029785},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16804340481758118},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.1603226661682129},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05974012613296509},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0516228973865509},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.amc.2012.08.020","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2012.08.020","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1601654243","https://openalex.org/W1973168762","https://openalex.org/W1985429847","https://openalex.org/W1988522526","https://openalex.org/W2013377999","https://openalex.org/W2032121576","https://openalex.org/W2046133471","https://openalex.org/W2051993051","https://openalex.org/W2068336300","https://openalex.org/W2072739261","https://openalex.org/W2090363608","https://openalex.org/W2115631688","https://openalex.org/W2159969387","https://openalex.org/W3143328915","https://openalex.org/W4245242210","https://openalex.org/W4249775755"],"related_works":["https://openalex.org/W3022088549","https://openalex.org/W2949557253","https://openalex.org/W185197619","https://openalex.org/W5603432","https://openalex.org/W2988201549","https://openalex.org/W4307478649","https://openalex.org/W2150834087","https://openalex.org/W2517260436","https://openalex.org/W2036449252","https://openalex.org/W2342772136"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
