{"id":"https://openalex.org/W2279248967","doi":"https://doi.org/10.1007/978-3-319-10705-9_30","title":"Variational Principles for Eigenvalues of Nonlinear Eigenproblems","display_name":"Variational Principles for Eigenvalues of Nonlinear Eigenproblems","publication_year":2014,"publication_date":"2014-10-31","ids":{"openalex":"https://openalex.org/W2279248967","doi":"https://doi.org/10.1007/978-3-319-10705-9_30","mag":"2279248967"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-10705-9_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-10705-9_30","pdf_url":null,"source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"},"type":"book-chapter","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/A5110652573","display_name":"Heinrich Vo\u00df","orcid":null},"institutions":[{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]},{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Heinrich Voss","raw_affiliation_strings":["Institute of Mathematics, Hamburg University of Technology, D-21071, Hamburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Hamburg University of Technology, D-21071, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110652573"],"corresponding_institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"],"apc_list":null,"apc_paid":null,"fwci":1.6017,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8452118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"305","last_page":"313"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7430115938186646},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5661194920539856},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4507758617401123},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34839484095573425},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3441588282585144},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3390146493911743},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21071189641952515},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09916016459465027}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7430115938186646},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5661194920539856},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4507758617401123},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34839484095573425},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3441588282585144},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3390146493911743},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21071189641952515},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09916016459465027}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-10705-9_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-10705-9_30","pdf_url":null,"source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W157601813","https://openalex.org/W322378860","https://openalex.org/W1526862902","https://openalex.org/W1580390795","https://openalex.org/W1585125590","https://openalex.org/W1970136394","https://openalex.org/W1973148449","https://openalex.org/W1976269979","https://openalex.org/W1983915526","https://openalex.org/W1987751629","https://openalex.org/W2007305231","https://openalex.org/W2024523538","https://openalex.org/W2026112346","https://openalex.org/W2030257319","https://openalex.org/W2035300515","https://openalex.org/W2036696273","https://openalex.org/W2049053997","https://openalex.org/W2056839204","https://openalex.org/W2059007781","https://openalex.org/W2059906319","https://openalex.org/W2061061974","https://openalex.org/W2067450775","https://openalex.org/W2077242748","https://openalex.org/W2078807939","https://openalex.org/W2093151606","https://openalex.org/W2128904982","https://openalex.org/W2131225971","https://openalex.org/W2165696409","https://openalex.org/W2320182515","https://openalex.org/W2323174428","https://openalex.org/W2332633076"],"related_works":["https://openalex.org/W2062626603","https://openalex.org/W2165749285","https://openalex.org/W2474979212","https://openalex.org/W2562455930","https://openalex.org/W2001036795","https://openalex.org/W2154748900","https://openalex.org/W3093811938","https://openalex.org/W4390092784","https://openalex.org/W127450631","https://openalex.org/W2088932963"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
