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Gradient estimates for Orlicz double phase problems Orlicz双相问题的梯度估计
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-06-06 DOI: 10.2422/2036-2145.202112_011
Sumiya Baasandorj, Sun-Sig Byun
{"title":"Gradient estimates for Orlicz double phase problems","authors":"Sumiya Baasandorj, Sun-Sig Byun","doi":"10.2422/2036-2145.202112_011","DOIUrl":"https://doi.org/10.2422/2036-2145.202112_011","url":null,"abstract":"","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89610121","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
The space of Gauss maps of complete minimal surfaces 完全极小曲面的高斯映射空间
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-05-22 DOI: 10.2422/2036-2145.202205_015
A. Alarcón, F. Lárusson
{"title":"The space of Gauss maps of complete minimal surfaces","authors":"A. Alarcón, F. Lárusson","doi":"10.2422/2036-2145.202205_015","DOIUrl":"https://doi.org/10.2422/2036-2145.202205_015","url":null,"abstract":"The Gauss map of a conformal minimal immersion of an open Riemann surface M into R 3 is a meromorphic function on M . In this paper, we prove that the Gauss map assignment, taking a full conformal minimal immersion M → R 3 to its Gauss map, is a Serre fibration. We then determine the homotopy type of the space of meromorphic functions on M that are the Gauss map of a complete full conformal minimal immersion, and show that it is the same as the homotopy type of the space of all continuous maps from M to the 2-sphere. We obtain analogous results for the generalised Gauss map of conformal minimal immersions M → R n for arbitrary n ≥ 3.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91359095","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
On the classification of non-big Ulrich vector bundles on fourfolds 关于四倍上非大Ulrich向量束的分类
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-05-20 DOI: 10.2422/2036-2145.202208_024
A. Lopez, R. Muñoz, Jos'e Carlos Sierra
{"title":"On the classification of non-big Ulrich vector bundles on fourfolds","authors":"A. Lopez, R. Muñoz, Jos'e Carlos Sierra","doi":"10.2422/2036-2145.202208_024","DOIUrl":"https://doi.org/10.2422/2036-2145.202208_024","url":null,"abstract":"We give an almost complete classification of non-big Ulrich vector bundles on fourfolds. This allows to classify them in the case of Picard rank one fourfolds, of Mukai fourfolds and in the case of Del Pezzo $n$-folds for $n le 4$. We also classify Ulrich bundles with non-big determinant on Del Pezzo and Mukai $n$-folds, $n ge 2$.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"58 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84295976","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: 1
Bott-Chern cohomology and the Hartogs extension theorem for pluriharmonic functions 多调和函数的bot - chen上同调与Hartogs扩展定理
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-05-05 DOI: 10.2422/2036-2145.202205_007
Xieping Wang
{"title":"Bott-Chern cohomology and the Hartogs extension theorem for pluriharmonic functions","authors":"Xieping Wang","doi":"10.2422/2036-2145.202205_007","DOIUrl":"https://doi.org/10.2422/2036-2145.202205_007","url":null,"abstract":". Let X be a cohomologically ( n − 1)-complete complex manifold of dimension n ≥ 2. We prove a vanishing result for the Bott-Chern cohomology group of type (1 , 1) with compact support in X , which combined with the well-known technique of Ehrenpreis implies a Hartogs type extension theorem for pluriharmonic functions on X .","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"141 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74936785","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: 2
Hermitian manifolds with flat Gauduchon connections 具有平高杜川连接的厄米流形
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-04-18 DOI: 10.2422/2036-2145.202210_005
Ramiro A. Lafuente, J. Stanfield
{"title":"Hermitian manifolds with flat Gauduchon connections","authors":"Ramiro A. Lafuente, J. Stanfield","doi":"10.2422/2036-2145.202210_005","DOIUrl":"https://doi.org/10.2422/2036-2145.202210_005","url":null,"abstract":"We complete the classification of compact Hermitian manifolds admitting a flat Gauduchon connection. In particular, we establish a conjecture of Yang and Zheng, showing that apart from the cases of a flat Chern or Bismut connection, such manifolds are K\"ahler. More generally, we prove the same result holds when the flatness assumption is replaced by the so-called K\"ahler-like condition, proving a conjecture of Angella, Otal, Ugarte and Villacampa. We also treat the non-compact case.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90780423","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: 1
Classification of convex ancient free boundary mean curvature flows in the ball 凸古自由边界的分类，平均曲率在球内流动
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-04-14 DOI: 10.2422/2036-2145.202206_007
T. Bourni, Mathew T. Langford
{"title":"Classification of convex ancient free boundary mean curvature flows in the ball","authors":"T. Bourni, Mathew T. Langford","doi":"10.2422/2036-2145.202206_007","DOIUrl":"https://doi.org/10.2422/2036-2145.202206_007","url":null,"abstract":"We prove that there exists, in every dimension, a unique (modulo rotations about the origin and time translations) convex ancient mean curvature flow in the ball with free boundary on the sphere.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"33 3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90883345","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
Blowing-up solutions for a nonlocal Liouville type equation 非局部Liouville型方程的爆破解
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-04-12 DOI: 10.2422/2036-2145.202208_008
Matteo Cozzi, Antonio J. Fern'andez
{"title":"Blowing-up solutions for a nonlocal Liouville type equation","authors":"Matteo Cozzi, Antonio J. Fern'andez","doi":"10.2422/2036-2145.202208_008","DOIUrl":"https://doi.org/10.2422/2036-2145.202208_008","url":null,"abstract":"We consider the nonlocal Liouville type equation $$ (-Delta)^{frac{1}{2}} u = varepsilon kappa(x) e^u, quad u>0, quad mbox{in } I, qquad u = 0, quad mbox{in } mathbb{R} setminus I, $$ where $I$ is a union of $d geq 2$ disjoint bounded intervals, $kappa$ is a smooth bounded function with positive infimum and $varepsilon>0$ is a small parameter. For any integer $1 leq m leq d$, we construct a family of solutions $(u_varepsilon)_{varepsilon}$ which blow up at $m$ interior distinct points of $I$ and for which $varepsilon int_I kappa e^{u_varepsilon} , rightarrow 2 m pi$, as $varepsilon to 0$. Moreover, we show that, when $d = 2$ and $m$ is suitably large, no such construction is possible.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84099281","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: 1
Willmore Obstacle Problems under Dirichlet Boundary Conditions Submitted: 2021-03-18 Dirichlet边界条件下的Willmore障碍问题[j] .中文信息学报:2019-03-18
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-04-11 DOI: 10.2422/2036-2145.202105_064
H. Grunau, S. Okabe
{"title":"Willmore Obstacle Problems under Dirichlet Boundary Conditions Submitted: 2021-03-18","authors":"H. Grunau, S. Okabe","doi":"10.2422/2036-2145.202105_064","DOIUrl":"https://doi.org/10.2422/2036-2145.202105_064","url":null,"abstract":"","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"108 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85484671","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
Non occurence of the Lavrentiev gap for multidimensional autonomous problems 多维自治问题的Lavrentiev缺口不存在
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-04-11 DOI: 10.2422/2036-2145.202105_060
P. Bousquet
{"title":"Non occurence of the Lavrentiev gap for multidimensional autonomous problems","authors":"P. Bousquet","doi":"10.2422/2036-2145.202105_060","DOIUrl":"https://doi.org/10.2422/2036-2145.202105_060","url":null,"abstract":"","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"68 4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88479545","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: 4
There is no Weil-cohomology theory with real coefficients for arithmetic curves 算术曲线没有带实系数的韦尔上同调理论
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2022-04-06 DOI: 10.2422/2036-2145.202204_005
C. Deninger
{"title":"There is no Weil-cohomology theory with real coefficients for arithmetic curves","authors":"C. Deninger","doi":"10.2422/2036-2145.202204_005","DOIUrl":"https://doi.org/10.2422/2036-2145.202204_005","url":null,"abstract":"A well known argument by Serre shows that there is no Weil cohomology theory with real coefficients for smooth projective varieties over $bar{mathbb{F}}_p$. In this note we explain why no\"Weil-\"cohomology theory with real coefficients can exist for arithmetic schemes over spec $mathbb{Z}$, even for spectra of number rings.","PeriodicalId":8132,"journal":{"name":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85491930","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: 1
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