{"id":"https://openalex.org/W4387060466","doi":"https://doi.org/10.1137/22m1493653","title":"A Non-Autonomous Variational Problem Describing a Nonlinear Timoshenko Beam","display_name":"A Non-Autonomous Variational Problem Describing a Nonlinear Timoshenko Beam","publication_year":2023,"publication_date":"2023-09-26","ids":{"openalex":"https://openalex.org/W4387060466","doi":"https://doi.org/10.1137/22m1493653"},"language":"en","primary_location":{"id":"doi:10.1137/22m1493653","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1493653","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":true,"oa_status":"green","oa_url":"https://pubblicazioni.unicam.it/bitstream/11581/471606/8/2204.07455v1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082413437","display_name":"D. Corona","orcid":null},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"D. Corona","raw_affiliation_strings":["School of Science and Technology, University of Camerino, Camerino (MC), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Technology, University of Camerino, Camerino (MC), Italy","institution_ids":["https://openalex.org/I112859197"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023644019","display_name":"Alessandro Della Corte","orcid":"https://orcid.org/0000-0002-1782-0270"},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Della Corte","raw_affiliation_strings":["School of Science and Technology, University of Camerino, Camerino (MC), Italy"],"raw_orcid":"https://orcid.org/0000-0002-1782-0270","affiliations":[{"raw_affiliation_string":"School of Science and Technology, University of Camerino, Camerino (MC), Italy","institution_ids":["https://openalex.org/I112859197"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114085504","display_name":"F. Giannoni","orcid":null},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"F. Giannoni","raw_affiliation_strings":["School of Science and Technology, University of Camerino, Camerino (MC), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Technology, University of Camerino, Camerino (MC), Italy","institution_ids":["https://openalex.org/I112859197"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082413437"],"corresponding_institution_ids":["https://openalex.org/I112859197"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19304302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"55","issue":"5","first_page":"4664","last_page":"4694"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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":0.9998000264167786,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9994000196456909,"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":0.8345218896865845},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6750417947769165},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.663063645362854},{"id":"https://openalex.org/keywords/timoshenko-beam-theory","display_name":"Timoshenko beam theory","score":0.571990966796875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5702911019325256},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5053901672363281},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4382491111755371},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.4341072738170624},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3545910716056824},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1619057059288025},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0755329430103302}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8345218896865845},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6750417947769165},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.663063645362854},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.571990966796875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5702911019325256},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5053901672363281},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4382491111755371},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4341072738170624},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3545910716056824},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1619057059288025},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0755329430103302},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1493653","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1493653","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:pubblicazioni.unicam.it:11581/471606","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/abs/10.1137/22M1493653?journalCode=sjmaah","pdf_url":"https://pubblicazioni.unicam.it/bitstream/11581/471606/8/2204.07455v1.pdf","source":{"id":"https://openalex.org/S4306400819","display_name":"Unicam Scientific Publications (University of Camerino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I112859197","host_organization_name":"Universit\u00e0 di Camerino","host_organization_lineage":["https://openalex.org/I112859197"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pubblicazioni.unicam.it:11581/471606","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/abs/10.1137/22M1493653?journalCode=sjmaah","pdf_url":"https://pubblicazioni.unicam.it/bitstream/11581/471606/8/2204.07455v1.pdf","source":{"id":"https://openalex.org/S4306400819","display_name":"Unicam Scientific Publications (University of Camerino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I112859197","host_organization_name":"Universit\u00e0 di Camerino","host_organization_lineage":["https://openalex.org/I112859197"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387060466.pdf","grobid_xml":"https://content.openalex.org/works/W4387060466.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W10857432","https://openalex.org/W157435084","https://openalex.org/W360270745","https://openalex.org/W1521738998","https://openalex.org/W1545761024","https://openalex.org/W2006272117","https://openalex.org/W2042871477","https://openalex.org/W2077924899","https://openalex.org/W2092094360","https://openalex.org/W2504943536","https://openalex.org/W2765817016","https://openalex.org/W2918944409","https://openalex.org/W2963058770","https://openalex.org/W2963617191","https://openalex.org/W2986667264","https://openalex.org/W3015864070","https://openalex.org/W3036372531","https://openalex.org/W3094298878","https://openalex.org/W4292360407"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W2966973786","https://openalex.org/W4306153464","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4319588782","https://openalex.org/W2069387284","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081"],"abstract_inverted_index":{"We":[0,73],"study":[1],"the":[2,29,35,52,75,90],"non-autonomous":[3],"variational":[4],"problem:":[5],"\\begin{equation*}":[6],"\\inf_{(\\phi,\\theta)}":[7],"\\bigg\\{\\int_0^1":[8],"\\bigg(\\frac{k}{2}\\phi'^2":[9],"+":[10],"\\frac{(\\phi-\\theta)^2}{2}-V(x,\\theta)\\bigg)\\text{d}x\\bigg\\}":[11],"\\end{equation*}":[12],"where":[13],"$k&gt;0$,":[14],"$V$":[15],"is":[16,31],"a":[17,55],"bounded":[18],"continuous":[19],"function,":[20],"$(\\phi,\\theta)\\in":[21],"H^1([0,1])\\times":[22],"L^2([0,1])$":[23],"and":[24,62,77,83,92],"$\\phi(0)=0$.":[25],"The":[26],"peculiarity":[27],"of":[28,37,39,54,66,80,94],"problem":[30],"its":[32],"setting":[33],"in":[34,48,63,69],"product":[36],"spaces":[38],"different":[40],"regularity":[41,93],"order.":[42],"Problems":[43],"with":[44],"this":[45],"form":[46],"arise":[47],"elastostatics,":[49],"when":[50],"studying":[51],"equilibria":[53],"nonlinear":[56],"Timoshenko":[57],"beam":[58],"under":[59,85],"distributed":[60],"load,":[61],"classical":[64],"dynamics":[65],"coupled":[67],"particles":[68],"time-depending":[70],"external":[71],"fields.":[72],"prove":[74],"existence":[76,91],"qualitative":[78],"properties":[79],"global":[81],"minimizers":[82],"study,":[84],"additional":[86],"assumptions":[87],"on":[88],"$V$,":[89],"local":[95],"minimizers.":[96]},"counts_by_year":[],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}
