%0 Journal Article
%T 含变号权的p-Laplcean算子的特征值问题<br/>On the Eigenvalue Problem for p-Laplcean Operator with Indefinite Weights
%A 熊辉
%J Pure Mathematics
%P 54-59
%@ 2160-7605
%D 2011
%I Hans Publishing
%R 10.12677/pm.2011.12012
%X 本文研究含不定权的Hardy-Sobolev算子的特征值问题(不定权表示权函数 可以变号，并具有非平凡的正部)，讨论了第一特征值的单一性、非第一特征值的特征函数的变号性和特征值序列的无穷性。并证明了Fu ik谱中非平凡曲线的存在性。<br />
In this paper we study the eigenvalue problem for the -Laplcean operator with indefinite weights. The simplicity, isolation of the first eigenvalue is studied here. Furthermore, the existence of a nontrivial curve is shown in the Fu ik spectrum.
%K p-Laplace；特征值问题；Fu ik谱；变号权<br/>p-Laplcean
%K Eigenvalue Problem
%K Fu Ik Spectrum
%K Indefinite Weight
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=142