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Revista Matematica Complutense最新文献

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On a special class of non-local variational problems 一类特殊的非局部变分问题
IF 0.8 3区 数学
Revista Matematica Complutense Pub Date : 2023-01-13 DOI: 10.1007/s13163-022-00454-x
P. Pedregal
{"title":"On a special class of non-local variational problems","authors":"P. Pedregal","doi":"10.1007/s13163-022-00454-x","DOIUrl":"https://doi.org/10.1007/s13163-022-00454-x","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47268567","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: 0
Multiple normalized solutions for the coupled Hartree–Fock system with upper critical exponent 具有上临界指数的耦合Hartree-Fock系统的多重归一化解
IF 0.8 3区 数学
Revista Matematica Complutense Pub Date : 2023-01-04 DOI: 10.1007/s13163-022-00451-0
Shuai Yao, Haibo Chen
{"title":"Multiple normalized solutions for the coupled Hartree–Fock system with upper critical exponent","authors":"Shuai Yao, Haibo Chen","doi":"10.1007/s13163-022-00451-0","DOIUrl":"https://doi.org/10.1007/s13163-022-00451-0","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45373465","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: 0
D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders. D’Atri空间和半球、管和圆柱体的总标量曲率。
IF 0.8 3区 数学
Revista Matematica Complutense Pub Date : 2023-01-01 Epub Date: 2022-10-10 DOI: 10.1007/s13163-022-00444-z
Balázs Csikós, Amr Elnashar, Márton Horváth
{"title":"D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders.","authors":"Balázs Csikós,&nbsp;Amr Elnashar,&nbsp;Márton Horváth","doi":"10.1007/s13163-022-00444-z","DOIUrl":"10.1007/s13163-022-00444-z","url":null,"abstract":"<p><p>Csikós and Horváth proved in J Geom Anal 28(4): 3458-3476, (2018) that if a connected Riemannian manifold of dimension at least 4 is harmonic, then the total scalar curvatures of tubes of small radius about an arbitrary regular curve depend only on the length of the curve and the radius of the tube, and conversely, if the latter condition holds for cylinders, i.e., for tubes about <i>geodesic</i> segments, then the manifold is harmonic. In the present paper, we show that in contrast to the higher dimensional case, a connected 3-dimensional Riemannian manifold has the above mentioned property of tubes if and only if the manifold is a D'Atri space, furthermore, if the space has bounded sectional curvature, then it is enough to require the total scalar curvature condition just for cylinders to imply that the space is D'Atri. This result gives a negative answer to a question posed by Gheysens and Vanhecke. To prove these statements, we give a characterization of D'Atri spaces in terms of the total scalar curvature of geodesic hemispheres in any dimension.</p>","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10471713/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10202625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","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 distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. 分数索波列夫空间和分数变化的分布方法：渐近学 I.
IF 1.4 3区 数学
Revista Matematica Complutense Pub Date : 2023-01-01 Epub Date: 2022-06-20 DOI: 10.1007/s13163-022-00429-y
Giovanni E Comi, Giorgio Stefani
{"title":"A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I.","authors":"Giovanni E Comi, Giorgio Stefani","doi":"10.1007/s13163-022-00429-y","DOIUrl":"10.1007/s13163-022-00429-y","url":null,"abstract":"<p><p>We continue the study of the space  <math><mrow><mi>B</mi> <msup><mi>V</mi> <mi>α</mi></msup> <mrow><mo>(</mo> <msup><mrow><mi>R</mi></mrow> <mi>n</mi></msup> <mo>)</mo></mrow> </mrow> </math> of functions with bounded fractional variation in  <math> <msup><mrow><mi>R</mi></mrow> <mi>n</mi></msup> </math> of order <math><mrow><mi>α</mi> <mo>∈</mo> <mo>(</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>)</mo></mrow> </math> introduced in our previous work (Comi and Stefani in J Funct Anal 277(10):3373-3435, 2019). After some technical improvements of certain results of Comi and Stefani (2019) which may be of some separated insterest, we deal with the asymptotic behavior of the fractional operators involved as <math><mrow><mi>α</mi> <mo>→</mo> <msup><mn>1</mn> <mo>-</mo></msup> </mrow> </math> . We prove that the <math><mi>α</mi></math> -gradient of a <math><msup><mi>W</mi> <mrow><mn>1</mn> <mo>,</mo> <mi>p</mi></mrow> </msup> </math> -function converges in <math><msup><mi>L</mi> <mi>p</mi></msup> </math> to the gradient for all <math><mrow><mi>p</mi> <mo>∈</mo> <mo>[</mo> <mn>1</mn> <mo>,</mo> <mo>+</mo> <mi>∞</mi> <mo>)</mo></mrow> </math> as <math><mrow><mi>α</mi> <mo>→</mo> <msup><mn>1</mn> <mo>-</mo></msup> </mrow> </math> . Moreover, we prove that the fractional <math><mi>α</mi></math> -variation converges to the standard De Giorgi's variation both pointwise and in the <math><mi>Γ</mi></math> -limit sense as <math><mrow><mi>α</mi> <mo>→</mo> <msup><mn>1</mn> <mo>-</mo></msup> </mrow> </math> . Finally, we prove that the fractional <math><mi>β</mi></math> -variation converges to the fractional <math><mi>α</mi></math> -variation both pointwise and in the <math><mi>Γ</mi></math> -limit sense as <math><mrow><mi>β</mi> <mo>→</mo> <msup><mi>α</mi> <mo>-</mo></msup> </mrow> </math> for any given <math><mrow><mi>α</mi> <mo>∈</mo> <mo>(</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>)</mo></mrow> </math> .</p>","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10147820/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9410531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pointwise monotonicity of heat kernels. 热核的逐点单调性。
IF 0.8 3区 数学
Revista Matematica Complutense Pub Date : 2023-01-01 DOI: 10.1007/s13163-021-00417-8
Diego Alonso-Orán, Fernando Chamizo, Ángel D Martínez, Albert Mas
{"title":"Pointwise monotonicity of heat kernels.","authors":"Diego Alonso-Orán,&nbsp;Fernando Chamizo,&nbsp;Ángel D Martínez,&nbsp;Albert Mas","doi":"10.1007/s13163-021-00417-8","DOIUrl":"https://doi.org/10.1007/s13163-021-00417-8","url":null,"abstract":"<p><p>In this paper we present an elementary proof of a pointwise radial monotonicity property of heat kernels that is shared by the Euclidean spaces, spheres and hyperbolic spaces. The main result was discovered by Cheeger and Yau in 1981 and rediscovered in special cases during the last few years. It deals with the monotonicity of the heat kernel from special points on revolution hypersurfaces. Our proof hinges on a non straightforward but elementary application of the parabolic maximum principle. As a consequence of the monotonicity property, we derive new inequalities involving classical special functions.</p>","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9852120/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9166787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities 关于Thom-Sebastiani奇点的简化Bernstein-Sato多项式
IF 0.8 3区 数学
Revista Matematica Complutense Pub Date : 2022-11-25 DOI: 10.1007/s13163-023-00478-x
A. Dom'inguez, L. N. Macarro
{"title":"On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities","authors":"A. Dom'inguez, L. N. Macarro","doi":"10.1007/s13163-023-00478-x","DOIUrl":"https://doi.org/10.1007/s13163-023-00478-x","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48645881","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: 0
Existence and multiplicity of solutions for a singular anisotropic problem with a sign-changing term 一类带变符号项的奇异各向异性问题解的存在性和多重性
IF 0.8 3区 数学
Revista Matematica Complutense Pub Date : 2022-11-16 DOI: 10.1007/s13163-022-00446-x
F. Corrêa, Gelson C. G. dos Santos, L. S. Tavares
{"title":"Existence and multiplicity of solutions for a singular anisotropic problem with a sign-changing term","authors":"F. Corrêa, Gelson C. G. dos Santos, L. S. Tavares","doi":"10.1007/s13163-022-00446-x","DOIUrl":"https://doi.org/10.1007/s13163-022-00446-x","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47584036","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
Evaluating recent methods to overcome spatial confounding 评价克服空间混淆的最新方法
IF 0.8 3区 数学
Revista Matematica Complutense Pub Date : 2022-10-13 DOI: 10.1007/s13163-022-00449-8
A. Urdangarin, T. Goicoa, M. Ugarte
{"title":"Evaluating recent methods to overcome spatial confounding","authors":"A. Urdangarin, T. Goicoa, M. Ugarte","doi":"10.1007/s13163-022-00449-8","DOIUrl":"https://doi.org/10.1007/s13163-022-00449-8","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45910553","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: 5
Liouville theorem for Hénon-Hardy systems in the unit ball 单位球中Hénon-Hardy系统的Liouville定理
IF 0.8 3区 数学
Revista Matematica Complutense Pub Date : 2022-10-09 DOI: 10.1007/s13163-022-00443-0
Phuong Le
{"title":"Liouville theorem for Hénon-Hardy systems in the unit ball","authors":"Phuong Le","doi":"10.1007/s13163-022-00443-0","DOIUrl":"https://doi.org/10.1007/s13163-022-00443-0","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49318727","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: 0
Some q-supercongruences from the Gasper and Rahman quadratic summation Gasper和Rahman二次求和的一些q-超凝聚
IF 0.8 3区 数学
Revista Matematica Complutense Pub Date : 2022-09-23 DOI: 10.1007/s13163-022-00442-1
Victor J. W. Guo
{"title":"Some q-supercongruences from the Gasper and Rahman quadratic summation","authors":"Victor J. W. Guo","doi":"10.1007/s13163-022-00442-1","DOIUrl":"https://doi.org/10.1007/s13163-022-00442-1","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43767831","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: 0
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