{"id":"https://openalex.org/W4387923635","doi":"https://doi.org/10.57262/die037-0304-267","title":"Isoperimetric estimates for solutions to the $p$-Laplacian with variable Robin boundary conditions","display_name":"Isoperimetric estimates for solutions to the $p$-Laplacian with variable Robin boundary conditions","publication_year":2023,"publication_date":"2023-10-24","ids":{"openalex":"https://openalex.org/W4387923635","doi":"https://doi.org/10.57262/die037-0304-267"},"language":"en","primary_location":{"id":"doi:10.57262/die037-0304-267","doi":"https://doi.org/10.57262/die037-0304-267","is_oa":false,"landing_page_url":"https://doi.org/10.57262/die037-0304-267","pdf_url":null,"source":{"id":"https://openalex.org/S184577771","display_name":"Differential and Integral Equations","issn_l":"0893-4983","issn":["0893-4983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4327876852","host_organization_name":"Khayyam Publishing","host_organization_lineage":["https://openalex.org/P4327876852"],"host_organization_lineage_names":["Khayyam Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Differential and Integral Equations","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2211.03617","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102878435","display_name":"Vincenzo Amato","orcid":"https://orcid.org/0000-0002-9422-5651","observed_orcids":["https://orcid.org/0000-0002-9422-5651"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vincenzo Amato","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110553154","display_name":"Francesco Chiacchio","orcid":"https://orcid.org/0000-0001-5261-1178","observed_orcids":["https://orcid.org/0000-0001-5261-1178"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Francesco Chiacchio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101936690","display_name":"Andrea Gentile","orcid":"https://orcid.org/0000-0002-9830-6272","observed_orcids":["https://orcid.org/0000-0002-9830-6272"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrea Gentile","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":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15234375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"3/4","first_page":"267","last_page":"286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9589999914169312,"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"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9589999914169312,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.027699999511241913,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.007300000172108412,"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/p-laplacian","display_name":"p-Laplacian","score":0.9480000138282776},{"id":"https://openalex.org/keywords/weighted-isoperimetric-inequality","display_name":"weighted isoperimetric inequality","score":0.9319999814033508},{"id":"https://openalex.org/keywords/sharp-bounds","display_name":"sharp bounds","score":0.5180000066757202},{"id":"https://openalex.org/keywords/faber-krahn-inequality","display_name":"Faber-Krahn inequality","score":0.9829999804496765}],"concepts":[{"id":"https://openalex.org/C140142295","wikidata":"https://www.wikidata.org/wiki/Q617417","display_name":"Isoperimetric inequality","level":2,"score":0.9111036062240601},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.875064492225647},{"id":"https://openalex.org/C108257041","wikidata":"https://www.wikidata.org/wiki/Q748993","display_name":"Robin boundary condition","level":4,"score":0.7457979917526245},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5867196321487427},{"id":"https://openalex.org/C70266181","wikidata":"https://www.wikidata.org/wiki/Q3707726","display_name":"Isoperimetric dimension","level":3,"score":0.5442609190940857},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5096390247344971},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.46004700660705566},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4558776915073395},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.45280930399894714},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45098716020584106},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4342014491558075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39282554388046265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3819885849952698},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.28072571754455566},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.57262/die037-0304-267","doi":"https://doi.org/10.57262/die037-0304-267","is_oa":false,"landing_page_url":"https://doi.org/10.57262/die037-0304-267","pdf_url":null,"source":{"id":"https://openalex.org/S184577771","display_name":"Differential and Integral Equations","issn_l":"0893-4983","issn":["0893-4983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4327876852","host_organization_name":"Khayyam Publishing","host_organization_lineage":["https://openalex.org/P4327876852"],"host_organization_lineage_names":["Khayyam Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Differential and Integral Equations","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2211.03617","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2211.03617","pdf_url":"https://arxiv.org/pdf/2211.03617","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2211.03617","doi":"https://doi.org/10.48550/arxiv.2211.03617","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2211.03617","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2211.03617","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2211.03617","pdf_url":"https://arxiv.org/pdf/2211.03617","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387923635.pdf","grobid_xml":"https://content.openalex.org/works/W4387923635.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W3201641116","https://openalex.org/W4362582924"],"related_works":["https://openalex.org/W7098659505","https://openalex.org/W2039629567","https://openalex.org/W2952865013","https://openalex.org/W4389312153","https://openalex.org/W4362582924","https://openalex.org/W7099233529","https://openalex.org/W4404836266","https://openalex.org/W1989350788","https://openalex.org/W4220916298","https://openalex.org/W2963556059"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,26],"study":[4],"the":[5,13,32,35],"$p$-Poisson":[6],"equation":[7],"with":[8],"Robin":[9,14],"boundary":[10],"conditions,":[11],"where":[12],"parameter":[15],"is":[16],"a":[17,42],"function.":[18],"By":[19],"means":[20],"of":[21],"some":[22],"weighted":[23],"isoperimetric":[24],"inequalities,":[25],"provide":[27],"various":[28],"sharp":[29],"bounds":[30],"for":[31],"solutions":[33],"to":[34],"problems":[36],"under":[37],"consideration.":[38],"We":[39],"also":[40],"derive":[41],"Faber-Krahn-type":[43],"inequality.":[44]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-10-25T00:00:00"}