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Annali dell''Universita di Ferrara最新文献

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Essential skeletons of pairs and Temkin’s metric 配对的基本骨架和滕金公制
Annali dell''Universita di Ferrara Pub Date : 2024-04-01 DOI: 10.1007/s11565-024-00504-w
Mirko Mauri, Enrica Mazzon, Matthew Stevenson
{"title":"Essential skeletons of pairs and Temkin’s metric","authors":"Mirko Mauri,&nbsp;Enrica Mazzon,&nbsp;Matthew Stevenson","doi":"10.1007/s11565-024-00504-w","DOIUrl":"10.1007/s11565-024-00504-w","url":null,"abstract":"<div><p>We study weight metrics and essential skeletons of pairs in the Berkovich analytification of a variety over a trivially-valued field of characteristic zero. In the smooth case, we show that Temkin’s canonical metric on pluricanonical bundles coincides with the weight metric defined via log discrepancies.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"839 - 857"},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hyperelliptically fibred surfaces with nodes 带节点的超椭圆纤维曲面
Annali dell''Universita di Ferrara Pub Date : 2024-04-01 DOI: 10.1007/s11565-024-00507-7
Edoardo Ballico, Elizabeth Gasparim, Bruno Suzuki
{"title":"Hyperelliptically fibred surfaces with nodes","authors":"Edoardo Ballico,&nbsp;Elizabeth Gasparim,&nbsp;Bruno Suzuki","doi":"10.1007/s11565-024-00507-7","DOIUrl":"10.1007/s11565-024-00507-7","url":null,"abstract":"<div><p>Using elementary methods of algebraic geometry, we present constructions of hyperelliptically fibred surfaces containing nodal fibres.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"871 - 889"},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Remark on a theorem of Oguiso 关于奥吉索定理的注释
Annali dell''Universita di Ferrara Pub Date : 2024-03-26 DOI: 10.1007/s11565-024-00506-8
Inder Kaur, Artie Prendergast-Smith
{"title":"Remark on a theorem of Oguiso","authors":"Inder Kaur,&nbsp;Artie Prendergast-Smith","doi":"10.1007/s11565-024-00506-8","DOIUrl":"10.1007/s11565-024-00506-8","url":null,"abstract":"<div><p>For a Calabi–Yau variety <i>X</i>, Oguiso (Math Res Lett 25(1):181–198, 2018) gave a useful criterion for primitivity of a self-map of <i>X</i> in terms of the associated linear map on the Néron–Severi space of <i>X</i>. In this short note, we prove a variant of Oguiso’s criterion and use it to verify primitivity of a certain birational automorphism of a Calabi–Yau threefold, to which Oguiso’s original criterion does not apply.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"859 - 869"},"PeriodicalIF":0.0,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00506-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140378159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Connecting probability for random bounded-range one-dimensional network 随机有界一维网络的连接概率
Annali dell''Universita di Ferrara Pub Date : 2024-03-25 DOI: 10.1007/s11565-024-00508-6
Lorenzo Federico
{"title":"Connecting probability for random bounded-range one-dimensional network","authors":"Lorenzo Federico","doi":"10.1007/s11565-024-00508-6","DOIUrl":"10.1007/s11565-024-00508-6","url":null,"abstract":"<div><p>We consider a class of bounded-range 1<i>D</i> network models on a cycle and prove that, unlike the corresponding infinite-volume models, which never contain infinite components, they actually exhibit a phase transition for connectivity. We further show that depending on the specific choice of the edge probabilities, the last obstruction to connectivity can either be the existence of isolated vertices or the split of the cycle into two spatially separated components.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1389 - 1403"},"PeriodicalIF":0.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00508-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140381932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of three solutions to a p(z)-Laplacian-Like Robin problem p(z)-Laplacian-Like Robin 问题的三个解的存在性
Annali dell''Universita di Ferrara Pub Date : 2024-03-21 DOI: 10.1007/s11565-024-00509-5
Mohamed El Ouaarabi, Noureddine Moujane, Said Melliani
{"title":"Existence of three solutions to a p(z)-Laplacian-Like Robin problem","authors":"Mohamed El Ouaarabi,&nbsp;Noureddine Moujane,&nbsp;Said Melliani","doi":"10.1007/s11565-024-00509-5","DOIUrl":"10.1007/s11565-024-00509-5","url":null,"abstract":"<div><p>This paper deals with the existence of solutions for a Robin boundary problem involving the <i>p</i>(<i>z</i>)-Laplacian-Like operator. Using Ricceri’s variational method, we prove the existence result of at least three nontrivial solutions of the considered problem in the framework of double weighted generalized Sobolev space.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1375 - 1388"},"PeriodicalIF":0.0,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140221529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Higher order elliptic equations in weighted Banach spaces 加权巴拿赫空间中的高阶椭圆方程
Annali dell''Universita di Ferrara Pub Date : 2024-03-15 DOI: 10.1007/s11565-024-00505-9
Bilal T. Bilalov, Sabina R. Sadigova, Lyoubomira G. Softova
{"title":"Higher order elliptic equations in weighted Banach spaces","authors":"Bilal T. Bilalov,&nbsp;Sabina R. Sadigova,&nbsp;Lyoubomira G. Softova","doi":"10.1007/s11565-024-00505-9","DOIUrl":"10.1007/s11565-024-00505-9","url":null,"abstract":"<div><p>We consider <i>m</i>-th order linear, uniformly elliptic equations <span>(mathcal {L}u=f)</span> with non-smooth coefficients in Banach–Sobolev spaces <span>(W_{X_w}^m (Omega ))</span> generated by weighted Banach Function Spaces (BFS) <span>(X_w (Omega ))</span> on a bounded domain <span>(Omega subset {mathbb R}^{n})</span>. Supposing boundedness of the Hardy–Littlewood Maximal operator and the Calderón–Zygmund singular integrals in <span>(X_w (Omega ))</span> we obtain solvability in the small in <span>(W_{X_w}^m (Omega ))</span> and establish interior Schauder type a priori estimates. These results will be used in order to obtain Fredholmness of the operator <span>(mathcal {L})</span> in <span>(X_w (Omega ))</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1351 - 1373"},"PeriodicalIF":0.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00505-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new double inertial subgradient extragradient algorithm for solving split pseudomonotone equilibrium problems and fixed point problems 解决分裂伪单调平衡问题和定点问题的新型双惯性子梯度外算法
Annali dell''Universita di Ferrara Pub Date : 2024-03-14 DOI: 10.1007/s11565-024-00496-7
A. A. Mebawondu, A. E. Ofem, F. Akutsah, C. Agbonkhese, F. Kasali, O. K. Narain
{"title":"A new double inertial subgradient extragradient algorithm for solving split pseudomonotone equilibrium problems and fixed point problems","authors":"A. A. Mebawondu,&nbsp;A. E. Ofem,&nbsp;F. Akutsah,&nbsp;C. Agbonkhese,&nbsp;F. Kasali,&nbsp;O. K. Narain","doi":"10.1007/s11565-024-00496-7","DOIUrl":"10.1007/s11565-024-00496-7","url":null,"abstract":"<div><p>The purpose of this article is to suggest a modified subgradient extragradient method that includes double inertial extrapolations and viscosity approach for finding the common solution of split equilibrium problem and fixed point problem. The strong convergence result of the suggested method is obtained under some standard assumptions on the control parameters. Our method does not require solving two strongly convex optimization problems in the feasible sets per iteration, and the step-sizes do not depend on bifunctional Lipschitz-type constants. Furthermore, unlike several methods in the literature, our method does not depend on the prior knowledge of the operator norm of the bounded linear operator. Instead, the step-sizes are self adaptively updated. We apply our method to solve split variational inequality problem. Lastly, we conduct some numerical test to compare our method with some well known methods in the literature.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1321 - 1349"},"PeriodicalIF":0.0,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00496-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140242919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Study of the existence and uniqueness of solutions for a class of Kirchhoff-type variational inequalities involving using Young measures 研究一类基尔霍夫型变分不等式的解的存在性和唯一性，涉及使用杨氏量纲
Annali dell''Universita di Ferrara Pub Date : 2024-03-06 DOI: 10.1007/s11565-024-00493-w
Mouad Allalou, Abderrahmane Raji, Khalid Hilal
{"title":"Study of the existence and uniqueness of solutions for a class of Kirchhoff-type variational inequalities involving using Young measures","authors":"Mouad Allalou,&nbsp;Abderrahmane Raji,&nbsp;Khalid Hilal","doi":"10.1007/s11565-024-00493-w","DOIUrl":"10.1007/s11565-024-00493-w","url":null,"abstract":"<div><p>This paper is devoted to discussing the existence of solutions for a class of Kirchhoff-type variational inequalities: <span>(-mathcal {M}biggl (displaystyle int _{Omega }mathcal {A}(z,nabla u )mathrm {~d}zbiggl )~displaystyle int _{Omega }mathcal {G}(z,nabla u).(nabla vartheta -nabla u)mathrm {~d}z ge displaystyle int _{Omega }Phi (z,u)(vartheta -u)mathrm {~d}z )</span>, for <span>(upsilon )</span> belonging to the following convex set <span>(mathcal {S}_{psi , theta })</span>. By employing Young measure theory in conjunction with a theorem formulated by Kinderlehrer and Stampacchia, we attain the intended result.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1301 - 1320"},"PeriodicalIF":0.0,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140260963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A minimal and non-alternative realisation of the Cayley plane Cayley 平面的最小化和非替代实现
Annali dell''Universita di Ferrara Pub Date : 2024-03-06 DOI: 10.1007/s11565-024-00498-5
Daniele Corradetti, Alessio Marrani, Francesco Zucconi
{"title":"A minimal and non-alternative realisation of the Cayley plane","authors":"Daniele Corradetti,&nbsp;Alessio Marrani,&nbsp;Francesco Zucconi","doi":"10.1007/s11565-024-00498-5","DOIUrl":"10.1007/s11565-024-00498-5","url":null,"abstract":"<div><p>The compact 16-dimensional Moufang plane, also known as the Cayley plane, has traditionally been defined through the lens of octonionic geometry. In this study, we present a novel approach, demonstrating that the Cayley plane can be defined in an equally clean, straightforward and more economic way using two different division and composition algebras: the paraoctonions and the Okubo algebra. The result is quite surprising since paraoctonions and Okubo algebra possess a weaker algebraic structure than the octonions, since they are non-alternative and do not satisfy the Moufang identities. Intriguingly, the real Okubo algebra has <span>(text {SU}left( 3right) )</span> as automorphism group, which is a classical Lie group, while octonions and paraoctonions have an exceptional Lie group of type <span>(text {G}_{2})</span>. This is remarkable, given that the projective plane defined over the real Okubo algebra is nevertheless isomorphic and isometric to the octonionic projective plane which is at the very heart of the geometric realisations of all types of exceptional Lie groups. Despite its historical ties with octonionic geometry, our research underscores the real Okubo algebra as the weakest algebraic structure allowing the definition of the compact 16-dimensional Moufang plane.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"681 - 730"},"PeriodicalIF":0.0,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00498-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A theorem of existence of solution for the nonlocal formulation of the problem of microwave heating 微波加热问题非局部表述的解存在定理
Annali dell''Universita di Ferrara Pub Date : 2024-02-28 DOI: 10.1007/s11565-024-00491-y
Giovanni Cimatti
{"title":"A theorem of existence of solution for the nonlocal formulation of the problem of microwave heating","authors":"Giovanni Cimatti","doi":"10.1007/s11565-024-00491-y","DOIUrl":"10.1007/s11565-024-00491-y","url":null,"abstract":"<div><p>Microwave electromagnetic heating are widely used in many industrial processes. The mathematics involved is based on the Maxwell’s equations coupled with the heat equation. The thermal conductivity is strongly dependent on the temperature, itself an unknown of the system of P.D.E. We propose here a model which simplifies this coupling using a nonlocal term as the source of heating. We prove that the corresponding mathematical initial-boundary value problem has solutions using the Schauder’s fixed point theorem.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 2","pages":"533 - 545"},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00491-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140423327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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