{"title":"Some new characterizations of the Wulff shape","authors":"Guanghan Li, Weili Peng","doi":"10.4064/cm8695-3-2022","DOIUrl":"https://doi.org/10.4064/cm8695-3-2022","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70142256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A trisection in the Auslander–Reiten quiver","authors":"F. U. Coelho","doi":"10.4064/cm8585-9-2021","DOIUrl":"https://doi.org/10.4064/cm8585-9-2021","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70141113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Centroaffine surfaces of cohomogeneity one with planar curvature lines","authors":"A. Fujioka, H. Furuhata","doi":"10.4064/cm8706-9-2022","DOIUrl":"https://doi.org/10.4064/cm8706-9-2022","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70142295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On power integral bases of certain pure number fields defined by $x^{3^rcdot 7^s}-m$","authors":"L. El Fadil","doi":"10.4064/cm8574-6-2021","DOIUrl":"https://doi.org/10.4064/cm8574-6-2021","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70141063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
W. F. C. Barboza, H. D. de Lima, Arlandson M. S. Oliveira, M. Velásquez
{"title":"Complete spacelike hypersurfaces in the anti-de Sitter space: rigidity, nonexistence and curvature estimates","authors":"W. F. C. Barboza, H. D. de Lima, Arlandson M. S. Oliveira, M. Velásquez","doi":"10.4064/cm8502-12-2021","DOIUrl":"https://doi.org/10.4064/cm8502-12-2021","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70141339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hovey triples arising from two cotorsion pairs of extriangulated categories","authors":"Panyue Zhou","doi":"10.4064/cm8615-3-2022","DOIUrl":"https://doi.org/10.4064/cm8615-3-2022","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70141531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. We extend some results related to the Poincaré inequality and solvability of divergence obtained in [G. Acosta et al., Ann. Acad. Sci. Fenn. Math. 42 (2017)]. More precisely, we generalize to unbounded John domains the general theorem that provides a sufficient condition on a weight to support a weighted improved Poincaré inequality. Next, we apply this inequality to study the solvability of the divergence equation in weighted Sobolev spaces. As a consequence, we prove the solvability in weighted Sobolev spaces for weights in classes bigger than A p .
{"title":"Improved weighted Poincaré inequalities in John domains and application to the divergence equation","authors":"M. E. Cejas","doi":"10.4064/cm8464-5-2021","DOIUrl":"https://doi.org/10.4064/cm8464-5-2021","url":null,"abstract":". We extend some results related to the Poincaré inequality and solvability of divergence obtained in [G. Acosta et al., Ann. Acad. Sci. Fenn. Math. 42 (2017)]. More precisely, we generalize to unbounded John domains the general theorem that provides a sufficient condition on a weight to support a weighted improved Poincaré inequality. Next, we apply this inequality to study the solvability of the divergence equation in weighted Sobolev spaces. As a consequence, we prove the solvability in weighted Sobolev spaces for weights in classes bigger than A p .","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70140786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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