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Milan Journal of Mathematics最新文献

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Functional Inequalities: Nonlinear Flows and Entropy Methods as a Tool for Obtaining Sharp and Constructive Results 泛函不等式:非线性流和熵方法作为获得尖锐和建设性结果的工具
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-07-17 DOI: 10.1007/s00032-021-00341-y
J. Dolbeault
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引用次数: 9
Heegner Points and Exceptional Zeros of Garrett p-Adic L-Functions 加勒特p进l函数的Heegner点与例外零点
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-06-08 DOI: 10.1007/s00032-021-00332-z
Massimo Bertolini, Marco Adamo Seveso, Rodolfo Venerucci
{"title":"Heegner Points and Exceptional Zeros of Garrett p-Adic L-Functions","authors":"Massimo Bertolini, Marco Adamo Seveso, Rodolfo Venerucci","doi":"10.1007/s00032-021-00332-z","DOIUrl":"https://doi.org/10.1007/s00032-021-00332-z","url":null,"abstract":"<p>This article proves a case of the <i>p</i>-adic Birch and Swinnerton–Dyer conjecture for Garrett <i>p</i>-adic <i>L</i>-functions of (Bertolini et al. in On <i>p</i>-adic analogues of the Birch and Swinnerton–Dyer conjecture for Garrett <i>L</i>-functions, 2021), in the imaginary dihedral exceptional zero setting of extended analytic rank 4.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Quasistatic Limit of a Dynamic Viscoelastic Model with Memory 具有记忆的动态粘弹性模型的准静态极限
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-06-07 DOI: 10.1007/s00032-021-00343-w
G. Dal Maso, Francesco Sapio
{"title":"Quasistatic Limit of a Dynamic Viscoelastic Model with Memory","authors":"G. Dal Maso, Francesco Sapio","doi":"10.1007/s00032-021-00343-w","DOIUrl":"https://doi.org/10.1007/s00032-021-00343-w","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46520824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Waves in Flexural Beams with Nonlinear Adhesive Interaction 具有非线性黏着相互作用的弯曲梁中的波
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-05-25 DOI: 10.1007/s00032-021-00338-7
G. Coclite, G. Devillanova, F. Maddalena
{"title":"Waves in Flexural Beams with Nonlinear Adhesive Interaction","authors":"G. Coclite, G. Devillanova, F. Maddalena","doi":"10.1007/s00032-021-00338-7","DOIUrl":"https://doi.org/10.1007/s00032-021-00338-7","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48496231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
New Computational Formulas for Special Numbers and Polynomials Derived from Applying Trigonometric Functions to Generating Functions 将三角函数应用于生成函数，得到特殊数和多项式的新计算公式
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-05-12 DOI: 10.1007/s00032-021-00333-y
Neslihan Kilar, Y. Simsek
{"title":"New Computational Formulas for Special Numbers and Polynomials Derived from Applying Trigonometric Functions to Generating Functions","authors":"Neslihan Kilar, Y. Simsek","doi":"10.1007/s00032-021-00333-y","DOIUrl":"https://doi.org/10.1007/s00032-021-00333-y","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00032-021-00333-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44946940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Anisotropic Curvature Flow of Immersed Networks 浸没网络的各向异性曲率流
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-05-07 DOI: 10.1007/s00032-021-00329-8
Heiko Kröner, Matteo Novaga, Paola Pozzi
{"title":"Anisotropic Curvature Flow of Immersed Networks","authors":"Heiko Kröner, Matteo Novaga, Paola Pozzi","doi":"10.1007/s00032-021-00329-8","DOIUrl":"https://doi.org/10.1007/s00032-021-00329-8","url":null,"abstract":"<p>We consider motion by anisotropic curvature of a network of three curves immersed in the plane meeting at a triple junction and with the other ends fixed. We show existence, uniqueness and regularity of a maximal geometric solution and we prove that, if the maximal time is finite, then either the length of one of the curves goes to zero or the <span>(L^2)</span>-norm of the anisotropic curvature blows up.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Inverse Quasiconvexification 逆Quasiconvexification
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-05-07 DOI: 10.1007/s00032-021-00328-9
Pablo Pedregal
{"title":"Inverse Quasiconvexification","authors":"Pablo Pedregal","doi":"10.1007/s00032-021-00328-9","DOIUrl":"https://doi.org/10.1007/s00032-021-00328-9","url":null,"abstract":"<p>In the context of the Calculus of Variations for non-convex, vector variational problems, the natural process of going from a function <span>(phi )</span> to its quasiconvexification <span>(Qphi )</span> is quite involved, and, most of the time, an impossible task. We propose to look at the reverse process, what might be called inverse quasiconvexification: start from a function <span>(phi _0)</span>, and find functions <span>(phi )</span> for which <span>(phi _0=Qphi )</span>. In addition to establishing a few general principles, we show several explicit examples motivated by their application to inverse problems in conductivity.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An Improved Setting for Generalized Functions: Fine Ultrafunctions 广义函数的一个改进设置：精细超函数
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-05-04 DOI: 10.1007/s00032-022-00359-w
V. Benci
{"title":"An Improved Setting for Generalized Functions: Fine Ultrafunctions","authors":"V. Benci","doi":"10.1007/s00032-022-00359-w","DOIUrl":"https://doi.org/10.1007/s00032-022-00359-w","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42280074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Blow-Up Result for a Generalized Tricomi Equation with Nonlinearity of Derivative Type 一类导数型非线性广义Tricomi方程的爆破结果
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-04-26 DOI: 10.1007/s00032-021-00326-x
Sandra Lucente, Alessandro Palmieri
{"title":"A Blow-Up Result for a Generalized Tricomi Equation with Nonlinearity of Derivative Type","authors":"Sandra Lucente, Alessandro Palmieri","doi":"10.1007/s00032-021-00326-x","DOIUrl":"https://doi.org/10.1007/s00032-021-00326-x","url":null,"abstract":"<p>In this note, we prove a blow-up result for a semilinear generalized Tricomi equation with nonlinear term of derivative type, i.e., for the equation <span>(mathcal {T}_ell u=|partial _t u|^p)</span>, where <span>(mathcal {T_ell }=partial _t^2-t^{2ell }Delta )</span>. Smooth solutions blow up in finite time for positive Cauchy data when the exponent <i>p</i> of the nonlinear term is below <span>(frac{mathcal {Q}}{mathcal {Q} -2})</span>, where <span>(mathcal {Q}=(ell +1)n+1)</span> is the quasi-homogeneous dimension of the generalized Tricomi operator <span>(mathcal {T}_ell )</span>. Furthermore, we get also an upper bound estimate for the lifespan.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Improvements and Generalizations of Two Hardy Type Inequalities and Their Applications to the Rellich Type Inequalities 两个Hardy型不等式的改进和推广及其在Rellich型不等式中的应用
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-04-05 DOI: 10.1007/s00032-022-00363-0
Megumi Sano
{"title":"Improvements and Generalizations of Two Hardy Type Inequalities and Their Applications to the Rellich Type Inequalities","authors":"Megumi Sano","doi":"10.1007/s00032-022-00363-0","DOIUrl":"https://doi.org/10.1007/s00032-022-00363-0","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43199652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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