{"id":"https://openalex.org/W2785980669","doi":"https://doi.org/10.1137/17m1138790","title":"Positivity for a Hinged Convex Plate with Stress","display_name":"Positivity for a Hinged Convex Plate with Stress","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2785980669","doi":"https://doi.org/10.1137/17m1138790","mag":"2785980669"},"language":"en","primary_location":{"id":"doi:10.1137/17m1138790","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1138790","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/A5018614726","display_name":"Guido Sweers","orcid":"https://orcid.org/0000-0003-0180-5890"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guido Sweers","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5023919156","display_name":"Katerina Vassi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Katerina Vassi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1534,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79818971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"50","issue":"1","first_page":"1163","last_page":"1174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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":1.0,"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/T11558","display_name":"Composite Material Mechanics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9991999864578247,"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/mathematics","display_name":"Mathematics","score":0.817555844783783},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6676322221755981},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5949181318283081},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5947128534317017},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.572189211845398},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5528671741485596},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5012896060943604},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.46315306425094604},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44786494970321655},{"id":"https://openalex.org/keywords/boundary-values","display_name":"Boundary values","score":0.4462762475013733},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.3919106125831604},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3388441205024719},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11250889301300049}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.817555844783783},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6676322221755981},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5949181318283081},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5947128534317017},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.572189211845398},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5528671741485596},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5012896060943604},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.46315306425094604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44786494970321655},{"id":"https://openalex.org/C2988329120","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary values","level":3,"score":0.4462762475013733},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3919106125831604},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3388441205024719},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11250889301300049},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1138790","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1138790","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"},{"id":"pmh:oai:USBKOELN.ub.uni-koeln.de:20321","is_oa":false,"landing_page_url":"https://kups.ub.uni-koeln.de/20321/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400371","display_name":"K\u00f6lner Universit\u00e4ts PublikationsServer (Universit\u00e4t zu K\u00f6ln)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210115942","host_organization_name":"Rhenish Institute for Environmental Research","host_organization_lineage":["https://openalex.org/I4210115942"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"doc-type:article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1976496016","https://openalex.org/W1995578244","https://openalex.org/W1998285609","https://openalex.org/W2000151171","https://openalex.org/W2004540864","https://openalex.org/W2018337823","https://openalex.org/W2074691934","https://openalex.org/W2094247338","https://openalex.org/W2111057421","https://openalex.org/W2121826827","https://openalex.org/W2390067673","https://openalex.org/W3098671559"],"related_works":["https://openalex.org/W238609530","https://openalex.org/W2734192830","https://openalex.org/W3016395638","https://openalex.org/W1636163329","https://openalex.org/W4292947165","https://openalex.org/W3045121788","https://openalex.org/W2068832901","https://openalex.org/W2154293587","https://openalex.org/W2014759640","https://openalex.org/W2953148713"],"abstract_inverted_index":{"The":[0,78,102],"boundary":[1,57],"value":[2],"problem":[3,65],"for":[4,84,98],"the":[5,95],"Kirchhoff--Love":[6],"model":[7],"of":[8,94],"a":[9,85],"hinged":[10],"elastic":[11],"plate":[12],"with":[13,42],"stress":[14,51],"is":[15,66],"as":[16],"follows:":[17],"$":[18,27],"\\Delta^{2}":[19],"u":[20,24,32],"-":[21],"\\tau":[22],"\\Delta":[23,31],"=":[25],"f":[26],"in":[28],"$\\Omega\\subset\\mathbb{R}^2$,":[29],"$u=":[30],"-(1-":[33],"\\sigma":[34],")":[35],"\\kappa":[36],"u_{\\nu}":[37],"=0$":[38,105],"on":[39,69,81,91],"$\\partial":[40],"\\Omega$":[41],"weight":[43],"$f":[44],"\\in":[45],"L^{2}(\\Omega)$,":[46],"Poisson":[47],"ratio":[48],"$\\sigma\\in":[49],"(-1,1)$,":[50],"coefficient":[52],"$\\tau":[53,104],"\\geq":[54],"0$,":[55],"and":[56,90,111],"curvature":[58],"$\\kappa$.":[59],"We":[60],"will":[61],"prove":[62],"that":[63],"this":[64],"positivity":[67],"preserving":[68],"convex":[70],"domains,":[71],"meaning":[72],"$f\\geq":[73],"0$":[74],"implies":[75],"$u\\geq":[76],"0$.":[77],"proof":[79],"relies":[80],"optimal":[82],"estimates":[83],"weighted":[86],"first":[87],"Steklov":[88],"eigenvalue":[89],"an":[92,99],"application":[93],"Kre\u012dn--Rutman":[96],"theorem":[97],"auxiliary":[100],"problem.":[101],"case":[103],"has":[106],"been":[107],"studied":[108],"by":[109],"Parini":[110],"Stylianou":[112],"[":[113],"SIAM":[114],"J.":[115],"Math.":[116],"Anal.,":[117],"41":[118],"(2009),":[119],"pp.":[120],"2031--2037].":[121]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}