{"id":"https://openalex.org/W1997624345","doi":"https://doi.org/10.1007/bf02235510","title":"A functional analytic approach to the numerical solution of nonlinear elliptic equations","display_name":"A functional analytic approach to the numerical solution of nonlinear elliptic equations","publication_year":1967,"publication_date":"1967-03-01","ids":{"openalex":"https://openalex.org/W1997624345","doi":"https://doi.org/10.1007/bf02235510","mag":"1997624345"},"language":"en","primary_location":{"id":"doi:10.1007/bf02235510","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02235510","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","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/A5042400039","display_name":"Eugene L. Allgower","orcid":null},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"E. Allgower","raw_affiliation_strings":["Department of Mathematics, Colorado State University, Fort Collins, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Colorado State University, Fort Collins, USA#TAB#","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070774503","display_name":"Ronald B. Guenther","orcid":null},"institutions":[{"id":"https://openalex.org/I22590746","display_name":"Marathon Oil (United States)","ror":"https://ror.org/04sm3yz09","country_code":"US","type":"company","lineage":["https://openalex.org/I22590746"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Guenther","raw_affiliation_strings":["Advanced Research Mathematicion, Marathon Oil Company, Denver Research Center, Littleton, Colorado, USA","Advanced Research Mathematicion, Marathon Oil Company, Denver Research Center, Littleton, USA"],"affiliations":[{"raw_affiliation_string":"Advanced Research Mathematicion, Marathon Oil Company, Denver Research Center, Littleton, Colorado, USA","institution_ids":["https://openalex.org/I22590746"]},{"raw_affiliation_string":"Advanced Research Mathematicion, Marathon Oil Company, Denver Research Center, Littleton, USA","institution_ids":["https://openalex.org/I22590746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042400039"],"corresponding_institution_ids":["https://openalex.org/I92446798"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.6323,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80500431,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"1","first_page":"25","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9966999888420105,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9966999888420105,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9962000250816345,"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/T13234","display_name":"advanced mathematical theories","score":0.9890999794006348,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7312792539596558},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6673816442489624},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.6661884784698486},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5391663908958435},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.5343225598335266},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5032030940055847},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4524955153465271},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4363928735256195},{"id":"https://openalex.org/keywords/partial-derivative","display_name":"Partial derivative","score":0.424746572971344},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17807939648628235},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04640582203865051}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7312792539596558},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6673816442489624},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.6661884784698486},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5391663908958435},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.5343225598335266},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5032030940055847},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4524955153465271},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4363928735256195},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.424746572971344},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17807939648628235},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04640582203865051}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02235510","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02235510","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","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":18,"referenced_works":["https://openalex.org/W56099165","https://openalex.org/W1993374849","https://openalex.org/W1997585049","https://openalex.org/W2004690127","https://openalex.org/W2007215829","https://openalex.org/W2011973786","https://openalex.org/W2016763994","https://openalex.org/W2032870390","https://openalex.org/W2040667455","https://openalex.org/W2060908766","https://openalex.org/W2084086446","https://openalex.org/W2086924628","https://openalex.org/W2091490399","https://openalex.org/W2315336393","https://openalex.org/W2333238640","https://openalex.org/W3217807766","https://openalex.org/W4205163428","https://openalex.org/W4233449894"],"related_works":["https://openalex.org/W2479314534","https://openalex.org/W198342057","https://openalex.org/W4295797339","https://openalex.org/W2358589552","https://openalex.org/W2139348706","https://openalex.org/W4235545837","https://openalex.org/W1589056410","https://openalex.org/W4254213601","https://openalex.org/W4388524987","https://openalex.org/W935007796"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}