Eigenvalues for Finsler p-Laplacian with zero Dirichlet boundary condition send back v37

被引：4

作者：

Farcaseanu, Maria ^{[1
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2016年 / 24卷 / 01期

关键词：

eigenvalue problem; p-Laplacian; weak solution;

D O I：

10.1515/auom-2016-0013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze the problem -Q(p)u(x) = lambda u(x) when x is an element of Omega with u(x) = 0 when x is an element of partial derivative Q, where Q subset of R-N is a bounded domain, Q(p) stands for Finsler p-Laplacian and p is an element of (2N/N,infinity) \ {2} is a given real N+ number. Using adequate variational methods we show that the set of eigenvalues of this problem is the interval (0, infinity).

引用

页码：231 / 242

页数：12

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