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Total energy of radial mappings

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成果类型:
期刊论文
作者:
Chen, Shaolin;Kalaj, David*
通讯作者:
Kalaj, David
作者机构:
[Chen, Shaolin] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421008, Hunan, Peoples R China.
[Kalaj, David] Univ Montenegro, Fac Nat Sci & Math, Podgorica 81000, Montenegro.
通讯机构:
[Kalaj, David] U
Univ Montenegro, Fac Nat Sci & Math, Podgorica 81000, Montenegro.
语种:
英文
关键词:
Mathematical techniques;Nonlinear analysis;2-dimensional case;Annuli;Diffeomorphisms;Total energy;Total energy functional;Mapping
期刊:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN:
0362-546X
年:
2018
卷:
167
页码:
21-28
基金类别:
This research was partly supported by the National Natural Science Foundation of China (No. 11401184 and No. 11571216 ), The Science and Technology Plan Project of Hengyang City ( 2017KJ183 ), and the Science and Technology Plan of Hunan Province ( 2016TP1020 ).
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
We prove that, the so called total energy functional defined on the class of radial stretchings between annuli attains its minimum on a total energy diffeomorphism between annuli on Rn. This involves a subtle analysis of some special ODE. The result is an extension of the corresponding 2-dimensional case obtained by Iwaniec ...

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