A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects
文献类型：期刊论文
| 作者 | Yang, Wen1; Jevnikar, Aleks2 |
| 刊名 | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
 |
| 出版日期 | 2019-04-01 |
| 卷号 | 149期号:2页码:325-352 |
| 关键词 | geometric PDEs mean field equation blow-up analysis variational methods |
| ISSN号 | 0308-2105 |
| DOI | 10.1017/prm.2018.30 |
| 英文摘要 | We are concerned with an elliptic problem which describes a mean field equation of the equilibrium turbulence of vortices with variable intensities. In the first part of the paper, we describe the blow-up picture and highlight the differences from the standard mean field equation as we observe non-quantization phenomenon. In the second part, we discuss the Moser-Trudinger inequality in terms of the blow-up masses and get the existence of solutions in a non-coercive regime by means of a variational argument, which is based on some improved Moser-Trudinger inequalities. |
| WOS关键词 | SCALAR-CURVATURE ; EXISTENCE RESULT ; STATISTICAL-MECHANICS ; VARIABLE INTENSITIES ; ELLIPTIC EQUATION ; COMPACT SURFACES ; TODA SYSTEM ; CLASSIFICATION ; LIMITS ; FLOWS |
| 资助项目 | PRIN12 project: Variational and Perturbative Aspects of Nonlinear Differential Problems ; FIRB project: Analysis and Beyond ; CAS Pioneer Hundred Talents Program |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000464008500004 |
| 出版者 | CAMBRIDGE UNIV PRESS |
| 资助机构 | PRIN12 project: Variational and Perturbative Aspects of Nonlinear Differential Problems ; PRIN12 project: Variational and Perturbative Aspects of Nonlinear Differential Problems ; FIRB project: Analysis and Beyond ; FIRB project: Analysis and Beyond ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; PRIN12 project: Variational and Perturbative Aspects of Nonlinear Differential Problems ; PRIN12 project: Variational and Perturbative Aspects of Nonlinear Differential Problems ; FIRB project: Analysis and Beyond ; FIRB project: Analysis and Beyond ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; PRIN12 project: Variational and Perturbative Aspects of Nonlinear Differential Problems ; PRIN12 project: Variational and Perturbative Aspects of Nonlinear Differential Problems ; FIRB project: Analysis and Beyond ; FIRB project: Analysis and Beyond ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; PRIN12 project: Variational and Perturbative Aspects of Nonlinear Differential Problems ; PRIN12 project: Variational and Perturbative Aspects of Nonlinear Differential Problems ; FIRB project: Analysis and Beyond ; FIRB project: Analysis and Beyond ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/13766]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Jevnikar, Aleks |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China 2.Univ Pisa, Dept Math, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy |
| 推荐引用方式 GB/T 7714 | Yang, Wen,Jevnikar, Aleks. A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2019,149(2):325-352. |
| APA | Yang, Wen,&Jevnikar, Aleks.(2019).A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,149(2),325-352. |
| MLA | Yang, Wen,et al."A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 149.2(2019):325-352. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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