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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(davidk@ac.me)
作者机构:
[Chen, Shaolin] College of Mathematics and Statistics, Hengyang Normal University, HengyangHunan, 421008, China
[Kalaj, David] University of Montenegro, Faculty of Natural Sciences and Mathematics, Cetinjski put b.b. 81000 Podgorica, Montenegro
通讯机构:
[Kalaj, David] Univ Montenegro, Fac Nat Sci & Math, Podgorica 81000, Montenegro.
语种:
英文
关键词:
2-dimensional case - Annuli - Diffeomorphisms - Total energy - Total energy functional
期刊:
Nonlinear Analysis, Theory, Methods and Applications
ISSN:
0362-546X
年:
2018
卷:
167
页码:
21-28
文献类别:
WOS:Article;EI:Journal article (JA)
所属学科:
ESI学科类别:数学;WOS学科类别:Mathematics;Mathematics, Applied
入藏号:
WOS:000417018200002;EI:20174704422363
基金类别:
National Natural Science Foundation of China [11401184, 11571216]; Science and Technology Plan Project of Hengyang City [2017KJ183]; 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 R-n. This involves a subtle analysis of some special ODE. The result is an extension of the corresponding 2-dimensional case obtained by Iwaniec and Onninen (2009). (C) 2017 Elsevier Ltd. All rights reserved.
参考文献:
Astala K, 2010, ARCH RATION MECH AN, V195, P899, DOI 10.1007/s00205-009-0231-z
Gomes D. A., CALCULUS VARIATIONS
Hartman P., 1964, ORDINARY DIFFERENTIA
Iwaniec T, 2012, MEM AM MATH SOC, V218, P1
Iwaniec T, 2011, INVENT MATH, V186, P667, DOI 10.1007/s00222-011-0327-6

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