Pub Date : 2023-06-16DOI: 10.1007/s00032-023-00383-4
A. S. Cigoli, S. Mantovani, G. Metere
{"title":"The Third Cohomology 2-Group","authors":"A. S. Cigoli, S. Mantovani, G. Metere","doi":"10.1007/s00032-023-00383-4","DOIUrl":"https://doi.org/10.1007/s00032-023-00383-4","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45001214","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}
Pub Date : 2023-04-29DOI: 10.1007/s00032-023-00379-0
R. L. Alves, C. Santos, K. Silva
{"title":"Extremal Regions and Multiplicity of Positive Solutions for Singular Superlinear Elliptic Systems with Indefinite-Sign Potential","authors":"R. L. Alves, C. Santos, K. Silva","doi":"10.1007/s00032-023-00379-0","DOIUrl":"https://doi.org/10.1007/s00032-023-00379-0","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46346325","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}
Pub Date : 2023-03-20DOI: 10.1007/s00032-022-00372-z
A. Komech, E. Kopylova
{"title":"On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle","authors":"A. Komech, E. Kopylova","doi":"10.1007/s00032-022-00372-z","DOIUrl":"https://doi.org/10.1007/s00032-022-00372-z","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"91 1","pages":"155-173"},"PeriodicalIF":1.7,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49147638","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}
Pub Date : 2023-01-06DOI: 10.1007/s00032-022-00370-1
M. Struwe
{"title":"“Bubbling” and Topological Degeneration in the Calculus of Variations","authors":"M. Struwe","doi":"10.1007/s00032-022-00370-1","DOIUrl":"https://doi.org/10.1007/s00032-022-00370-1","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"1 1","pages":"1-12"},"PeriodicalIF":1.7,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46373803","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}
Pub Date : 2023-01-01DOI: 10.1007/s00032-022-00375-w
Stefano Almi, Claudio D'Eramo, Marco Morandotti, Francesco Solombrino
The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, the case of different time scales between the agents' locations and labels dynamics is considered. The limit system couples a mean-field-type evolution in the space of positions and an instantaneous optimization of the payoff functional in the space of labels.
{"title":"Mean-Field Limits for Entropic Multi-Population Dynamical Systems.","authors":"Stefano Almi, Claudio D'Eramo, Marco Morandotti, Francesco Solombrino","doi":"10.1007/s00032-022-00375-w","DOIUrl":"https://doi.org/10.1007/s00032-022-00375-w","url":null,"abstract":"<p><p>The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, the case of different time scales between the agents' locations and labels dynamics is considered. The limit system couples a mean-field-type evolution in the space of positions and an instantaneous optimization of the payoff functional in the space of labels.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"91 1","pages":"175-212"},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10156827/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9435505","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}
Pub Date : 2022-11-23DOI: 10.1007/s00032-022-00371-0
O. Debarre, D. Huybrechts, Emanuele Macrì, C. Voisin, F. Tomarelli, P. Stellari
{"title":"Topics in Hyper-Kähler Geometry","authors":"O. Debarre, D. Huybrechts, Emanuele Macrì, C. Voisin, F. Tomarelli, P. Stellari","doi":"10.1007/s00032-022-00371-0","DOIUrl":"https://doi.org/10.1007/s00032-022-00371-0","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"90 1","pages":"303 - 304"},"PeriodicalIF":1.7,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44167692","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}