ON the p-Harmonic Robin Radius in the Euclidean Space
- 作者: Kalmykov S.I.1,2, Prilepkina E.G.3,4
-
隶属关系:
- School of Mathematical Sciences, Shanghai Jiao Tong University
- Institute of Applied Mathematics of the FEB RAS
- Far Eastern Federal University
- Vladivostok Department of the Russian Customs Academy
- 期: 卷 225, 编号 6 (2017)
- 页面: 969-979
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239877
- DOI: https://doi.org/10.1007/s10958-017-3508-z
- ID: 239877
如何引用文章
详细
For p > 1, the notion of the p-harmonic Robin radius of a domain in the space ℝn, n ≥ 2, is introduced. In the case where the corresponding part of the boundary degenerates, the Robin–Neumann radius is considered. The monotonicity of the p-harmonic Robin radius under some deformations of a domain is proved. Some extremal decomposition problems in the Euclidean space are solved. The definitions and proofs are based on the technique of moduli of curve families. Bibliography: 23 titles.
作者简介
S. Kalmykov
School of Mathematical Sciences, Shanghai Jiao Tong University; Institute of Applied Mathematics of the FEB RAS
编辑信件的主要联系方式.
Email: sergeykalmykov@inbox.ru
中国, Shanghai; Vladivostok
E. Prilepkina
Far Eastern Federal University; Vladivostok Department of the Russian Customs Academy
Email: sergeykalmykov@inbox.ru
俄罗斯联邦, Vladivostok; Vladivostok
补充文件
