{"title":"Ground state solutions for the Dirac equation with periodic external force field","authors":"Chen Peng, Wu Yan, Xianhua Tang","doi":"10.1360/ssm-2023-0270","DOIUrl":"https://doi.org/10.1360/ssm-2023-0270","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":"17 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140525902","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}
The squared distance function is one of the most important cost functions in optimal transport problems, and it has signi(cid:12)cant applications in many (cid:12)elds. In this paper, we brie(cid:13)y introduce the optimal transport problems under this cost function, including the existence, regularity, and partial regularity of solutions, as well as related free boundary problems.
{"title":"Optimal transport problems with the quadratic cost function","authors":"Shibing Chen, Jiakun Liu","doi":"10.1360/ssm-2023-0248","DOIUrl":"https://doi.org/10.1360/ssm-2023-0248","url":null,"abstract":"The squared distance function is one of the most important cost functions in optimal transport problems, and it has signi(cid:12)cant applications in many (cid:12)elds. In this paper, we brie(cid:13)y introduce the optimal transport problems under this cost function, including the existence, regularity, and partial regularity of solutions, as well as related free boundary problems.","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":"25 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140526546","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}
{"title":"Isoperimetric bounds for eigenvalues of the Laplacian, the Wentzell-Laplace and a biharmonic Steklov 问题","authors":"Mao Jing, Du Feng, Qiaoling Wang, C. Xia","doi":"10.1360/ssm-2023-0200","DOIUrl":"https://doi.org/10.1360/ssm-2023-0200","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":"56 5-6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140517264","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}
{"title":"New construction results for space-filling orthogonal designs","authors":"Chunyan Wang, Yang Jinyu","doi":"10.1360/scm-2023-0147","DOIUrl":"https://doi.org/10.1360/scm-2023-0147","url":null,"abstract":"","PeriodicalId":36277,"journal":{"name":"Scientia Sinica Mathematica","volume":"30 25","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138623785","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}
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