{"id":"https://openalex.org/W2498908006","doi":"https://doi.org/10.1201/9780203902196-18","title":"About a Geometrical Approach to Multistructures and Some Qualitative Properties of Solutions","display_name":"About a Geometrical Approach to Multistructures and Some Qualitative Properties of Solutions","publication_year":2001,"publication_date":"2001-04-10","ids":{"openalex":"https://openalex.org/W2498908006","doi":"https://doi.org/10.1201/9780203902196-18","mag":"2498908006"},"language":"en","primary_location":{"id":"doi:10.1201/9780203902196-18","doi":"https://doi.org/10.1201/9780203902196-18","is_oa":false,"landing_page_url":"https://doi.org/10.1201/9780203902196-18","pdf_url":null,"source":{"id":"https://openalex.org/S4306463075","display_name":"CRC Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320584","host_organization_name":"CRC Press","host_organization_lineage":["https://openalex.org/P4310320584","https://openalex.org/P4310320547"],"host_organization_lineage_names":["CRC Press","Taylor & Francis"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations On Multistructures","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2488599691","display_name":"Partial Differential Equations On Multistructures"},"type":"book-chapter","is_traditional":true,"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/A5006656137","display_name":"O. M. Penkin","orcid":"https://orcid.org/0000-0001-9547-7597","observed_orcids":["https://orcid.org/0000-0001-9547-7597"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"O Penkin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5006656137"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.2723,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.98132256,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"219","last_page":"229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.6776999831199646,"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"}},"topics":[{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.6776999831199646,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.056699998676776886,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.03660000115633011,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/qualitative-properties-of-solutions","display_name":"qualitative properties of solutions","score":0.7829999923706055},{"id":"https://openalex.org/keywords/strings","display_name":"strings","score":0.546999990940094},{"id":"https://openalex.org/keywords/membranes","display_name":"membranes","score":0.9909999966621399},{"id":"https://openalex.org/keywords/geometric-approach","display_name":"geometric approach","score":0.44699999690055847}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3859730064868927},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3456285893917084},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3271697163581848},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32576286792755127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3127737045288086},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.19329828023910522},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.11075186729431152},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.06561246514320374}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1201/9780203902196-18","doi":"https://doi.org/10.1201/9780203902196-18","is_oa":false,"landing_page_url":"https://doi.org/10.1201/9780203902196-18","pdf_url":null,"source":{"id":"https://openalex.org/S4306463075","display_name":"CRC Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320584","host_organization_name":"CRC Press","host_organization_lineage":["https://openalex.org/P4310320584","https://openalex.org/P4310320547"],"host_organization_lineage_names":["CRC Press","Taylor & Francis"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations On Multistructures","raw_type":"book-chapter"},{"id":"doi:10.1201/9780203902196.ch11","doi":"https://doi.org/10.1201/9780203902196.ch11","is_oa":false,"landing_page_url":"https://doi.org/10.1201/9780203902196.ch11","pdf_url":null,"source":{"id":"https://openalex.org/S4306463075","display_name":"CRC Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320584","host_organization_name":"CRC Press","host_organization_lineage":["https://openalex.org/P4310320584","https://openalex.org/P4310320547"],"host_organization_lineage_names":["CRC Press","Taylor & Francis"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations On Multistructures","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1866311589","https://openalex.org/W1982061618","https://openalex.org/W1994162076","https://openalex.org/W2004448954","https://openalex.org/W2016595011","https://openalex.org/W2050281550","https://openalex.org/W2068794480","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2488599691","https://openalex.org/W2590638291","https://openalex.org/W2066801795","https://openalex.org/W2485865370","https://openalex.org/W2553859368","https://openalex.org/W4237911286","https://openalex.org/W2500826100","https://openalex.org/W2291619141","https://openalex.org/W2888933615","https://openalex.org/W7100357589"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"shall":[4],"describe":[5],"an":[6],"approach":[7],"to":[8],"create":[9],"mathematical":[10],"models":[11],"of":[12,23,25,33,40,43],"certain":[13],"multistructures.":[14],"Roughly":[15],"speaking,":[16],"a":[17,20,34,37],"multistructure":[18,35],"is":[19,36],"system":[21,38],"consisting":[22,39],"elements":[24],"various":[26],"physical":[27],"or":[28],"geometrical":[29],"nature.":[30],"An":[31],"example":[32],"finite":[41],"number":[42],"strings":[44],"and":[45],"membranes.":[46]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-08-23T00:00:00"}
