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Hadamard variational formulas for p-torsion and p-eigenvalue with applications

文献类型：期刊论文

作者Xu, Lu2; Song, Changzhen1; Huang, Yong2
刊名GEOMETRIAE DEDICATA
出版日期2018-12-01
卷号197期号:1页码:61-76
关键词Hadamard variational formula p-Laplacian equation Symmetry Brunn-Minkowski inequality Minkowski problem 35J92 35N25
ISSN号0046-5755
DOI10.1007/s10711-018-0318-5
英文摘要In this paper, we pose two kinds of Minkowski problems involving the p-Laplacian operator. The Hadamard variational formulas for some p-Laplacian functionals are obtained. A good application is to prove symmetry results for solutions to some overdetermined problems of p-Laplacian equations.
WOS关键词BRUNN-MINKOWSKI INEQUALITY ; OVERDETERMINED PROBLEMS ; CONVEX DOMAINS ; SYMMETRY ; CAPACITY ; REGULARITY ; UNIQUENESS ; LAPLACIAN ; LIPSCHITZ ; OPERATOR
资助项目NSFC[11625103] ; NSFC[11771132] ; Fundamental Research Funds for the Central Universities
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000450104800004
出版者SPRINGER
资助机构NSFC ; NSFC ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; NSFC ; NSFC ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; NSFC ; NSFC ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; NSFC ; NSFC ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities
源URL[http://ir.wipm.ac.cn/handle/112942/13396]  
专题中国科学院武汉物理与数学研究所
通讯作者Xu, Lu
作者单位1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China
2.Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
推荐引用方式
GB/T 7714		 Xu, Lu,Song, Changzhen,Huang, Yong. Hadamard variational formulas for p-torsion and p-eigenvalue with applications[J]. GEOMETRIAE DEDICATA,2018,197(1):61-76.
APA Xu, Lu,Song, Changzhen,&Huang, Yong.(2018).Hadamard variational formulas for p-torsion and p-eigenvalue with applications.GEOMETRIAE DEDICATA,197(1),61-76.
MLA Xu, Lu,et al."Hadamard variational formulas for p-torsion and p-eigenvalue with applications".GEOMETRIAE DEDICATA 197.1(2018):61-76.

入库方式： OAI收割

来源：武汉物理与数学研究所

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