{"id":"https://openalex.org/W4406381514","doi":"https://doi.org/10.1137/24m1634126","title":"The Monge\u2013Amp\u00e8re System: Convex Integration in Arbitrary Dimension and Codimension","display_name":"The Monge\u2013Amp\u00e8re System: Convex Integration in Arbitrary Dimension and Codimension","publication_year":2025,"publication_date":"2025-01-15","ids":{"openalex":"https://openalex.org/W4406381514","doi":"https://doi.org/10.1137/24m1634126"},"language":"en","primary_location":{"id":"doi:10.1137/24m1634126","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1634126","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical 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/A5108157076","display_name":"Marta Lewicka","orcid":null},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marta Lewicka","raw_affiliation_strings":["Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260 USA","institution_ids":["https://openalex.org/I170201317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108157076"],"corresponding_institution_ids":["https://openalex.org/I170201317"],"apc_list":null,"apc_paid":null,"fwci":7.1476,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.95984101,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"57","issue":"1","first_page":"601","last_page":"636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9997000098228455,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9997000098228455,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9995999932289124,"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":0.9815000295639038,"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/mathematics","display_name":"Mathematics","score":0.9053192734718323},{"id":"https://openalex.org/keywords/codimension","display_name":"Codimension","score":0.8314214944839478},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6800101399421692},{"id":"https://openalex.org/keywords/monge\u2013amp\u00e8re-equation","display_name":"Monge\u2013Amp\u00e8re equation","score":0.60108482837677},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5957674980163574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5536113381385803},{"id":"https://openalex.org/keywords/ampere","display_name":"Ampere","score":0.49907493591308594},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46048080921173096},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2585945129394531},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.17634043097496033}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9053192734718323},{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.8314214944839478},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6800101399421692},{"id":"https://openalex.org/C2777808208","wikidata":"https://www.wikidata.org/wiki/Q1552291","display_name":"Monge\u2013Amp\u00e8re equation","level":2,"score":0.60108482837677},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5957674980163574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5536113381385803},{"id":"https://openalex.org/C4941483","wikidata":"https://www.wikidata.org/wiki/Q25272","display_name":"Ampere","level":3,"score":0.49907493591308594},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46048080921173096},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2585945129394531},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.17634043097496033},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1634126","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1634126","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.49000000953674316}],"awards":[{"id":"https://openalex.org/G6601620679","display_name":"Dimension Reduction and Singular Limits of Prestrained Structures","funder_award_id":"2006439","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2063631184","https://openalex.org/W2169688300","https://openalex.org/W2303208655","https://openalex.org/W2318624729","https://openalex.org/W2915017829","https://openalex.org/W2921406349","https://openalex.org/W3100795409","https://openalex.org/W4242771523","https://openalex.org/W4404738890","https://openalex.org/W4404775321"],"related_works":["https://openalex.org/W904975296","https://openalex.org/W2962970080","https://openalex.org/W2883996684","https://openalex.org/W2963475644","https://openalex.org/W4240608017","https://openalex.org/W4233310893","https://openalex.org/W2327327348","https://openalex.org/W2952675712","https://openalex.org/W4292712470","https://openalex.org/W2202559856"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}