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Local and non-local improved Hardy inequalities with weights 带权的局部和非局部改进Hardy不等式
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-08-05 DOI: 10.4171/rlm/974
A. Canale
{"title":"Local and non-local improved Hardy inequalities with weights","authors":"A. Canale","doi":"10.4171/rlm/974","DOIUrl":"https://doi.org/10.4171/rlm/974","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47466073","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}
引用次数: 3
Partial regularity for elliptic systems with critical growth 临界增长椭圆型系统的部分正则性
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-07-27 DOI: 10.4171/rlm/971
Teresa Isernia, C. Leone, A. Verde
{"title":"Partial regularity for elliptic systems with critical growth","authors":"Teresa Isernia, C. Leone, A. Verde","doi":"10.4171/rlm/971","DOIUrl":"https://doi.org/10.4171/rlm/971","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45371100","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}
引用次数: 0
Existence and multiplicity results for a class of Kirchhoff–Choquard equations with a generalized sign-changing potential 一类具有广义变号势的Kirchhoff-Choquard方程的存在性和多重性
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-07-25 DOI: 10.4171/RLM/984
E. D. S. Boer, O. Miyagaki, P. Pucci
{"title":"Existence and multiplicity results for a class of Kirchhoff–Choquard equations with a generalized sign-changing potential","authors":"E. D. S. Boer, O. Miyagaki, P. Pucci","doi":"10.4171/RLM/984","DOIUrl":"https://doi.org/10.4171/RLM/984","url":null,"abstract":"In the present work we are concerned with the following Kirchhoff-Choquard-type equation $$-M(||nabla u||_{2}^{2})Delta u +Q(x)u + mu(V(|cdot|)ast u^2)u = f(u) mbox{ in } mathbb{R}^2 , $$ for $M: mathbb{R} rightarrow mathbb{R}$ given by $M(t)=a+bt$, $ mu>0 $, $ V $ a sign-changing and possible unbounded potential, $ Q $ a continuous external potential and a nonlinearity $f$ with exponential critical growth. We prove existence and multiplicity of solutions in the nondegenerate case and guarantee the existence of solutions in the degenerate case.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47350704","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}
引用次数: 5
Regularity results for a noncoercive nonlinear Dirichlet problem 非强制非线性Dirichlet问题的正则性结果
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-06-21 DOI: 10.4171/rlm/967
Emilia Anna Alfano, P. Di Gironimo, S. Monsurrò
{"title":"Regularity results for a noncoercive nonlinear Dirichlet problem","authors":"Emilia Anna Alfano, P. Di Gironimo, S. Monsurrò","doi":"10.4171/rlm/967","DOIUrl":"https://doi.org/10.4171/rlm/967","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48596836","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}
引用次数: 3
Integer solutions to bankruptcy problems: The IPROP solution 破产问题的整数解决方案:IPROP解决方案
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-06-10 DOI: 10.4171/rlm/968
V. Fragnelli, F. Gastaldi
{"title":"Integer solutions to bankruptcy problems: The IPROP solution","authors":"V. Fragnelli, F. Gastaldi","doi":"10.4171/rlm/968","DOIUrl":"https://doi.org/10.4171/rlm/968","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45593089","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}
引用次数: 0
Normalized solutions for the Klein–Gordon–Dirac system Klein–Gordon–Dirac系统的归一化解
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-06-08 DOI: 10.4171/RLM/999
V. C. Zelati, M. Nolasco
{"title":"Normalized solutions for the Klein–Gordon–Dirac system","authors":"V. C. Zelati, M. Nolasco","doi":"10.4171/RLM/999","DOIUrl":"https://doi.org/10.4171/RLM/999","url":null,"abstract":"We prove the existence of a stationary solution for the system describing the interaction between an electron coupled with a massless scalar field (a photon). We find a solution, with fixed $L^{2}$-norm, by variational methods, as a critical point of an energy functional.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45407736","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}
引用次数: 3
Quasi-periodic motions in generic nearly-integrable mechanical systems 一般近可积机械系统中的拟周期运动
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-06-02 DOI: 10.4171/rlm/981
L. Biasco, L. Chierchia
{"title":"Quasi-periodic motions in generic nearly-integrable mechanical systems","authors":"L. Biasco, L. Chierchia","doi":"10.4171/rlm/981","DOIUrl":"https://doi.org/10.4171/rlm/981","url":null,"abstract":"In this note we present and briefly discuss results, which include as a particular case the theorem announced in [2], concerning the typical behaviour of nearly–integrable mechanical systems with generic analytic potentials.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43582775","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}
引用次数: 3
A jumping problem for quasilinear elliptic equations with right-hand side measure 具有右侧测度的拟线性椭圆方程的跳变问题
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-04-24 DOI: 10.4171/rlm/982
Michele Colturato, Marco Degiovanni
{"title":"A jumping problem for quasilinear elliptic equations with right-hand side measure","authors":"Michele Colturato, Marco Degiovanni","doi":"10.4171/rlm/982","DOIUrl":"https://doi.org/10.4171/rlm/982","url":null,"abstract":". We consider a quasilinear elliptic equation with right hand side measure, in which the lower order term has a behavior of jumping type. By means of techniques of degree theory, we prove the existence of one or two entropy solutions.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48098550","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}
引用次数: 0
Northcott numbers for the weighted Weil heights 加权韦尔高度的诺斯科特数
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-04-09 DOI: 10.4171/rlm/1000
Masao Okazaki, K. Sano
{"title":"Northcott numbers for the weighted Weil heights","authors":"Masao Okazaki, K. Sano","doi":"10.4171/rlm/1000","DOIUrl":"https://doi.org/10.4171/rlm/1000","url":null,"abstract":"We answer the question of Vidaux and Videla about the distribution of the Northcott numbers for the Weil height. We solve the same problem for the weighted Weil heights. These heights generalize both the absolute and relative Weil height. Our results also refine those of Pazuki, Technau, and Widmer.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44007200","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}
引用次数: 3
An uncoupled limit model for a high-contrast problem in a thin multi-structure 薄多结构高对比度问题的解耦合极限模型
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2022-03-30 DOI: 10.4171/rlm/963
U. De Maio, A. Gaudiello, A. Sili
{"title":"An uncoupled limit model for a high-contrast problem in a thin multi-structure","authors":"U. De Maio, A. Gaudiello, A. Sili","doi":"10.4171/rlm/963","DOIUrl":"https://doi.org/10.4171/rlm/963","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48193427","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}
引用次数: 3
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