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

doi:10.1007/s10711-018-0318-5

	Hadamard variational formulas for p-torsion and p-eigenvalue with applications
	Xu, Lu 2; Song, Changzhen 1; Huang, Yong 2
刊名	GEOMETRIAE DEDICATA
	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
DOI	10.1007/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.
资助项目	NSFC[11625103] ; NSFC[11771132] ; Fundamental Research Funds for the Central Universities
WOS关键词	BRUNN-MINKOWSKI INEQUALITY ; OVERDETERMINED PROBLEMS ; CONVEX DOMAINS ; SYMMETRY ; CAPACITY ; REGULARITY ; UNIQUENESS ; LAPLACIAN ; LIPSCHITZ ; OPERATOR
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000450104800004
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
内容类型	期刊论文
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.