标题:
含变号权的p-Laplcean算子的特征值问题On the Eigenvalue Problem for p-Laplcean Operator with Indefinite Weights
作者:
熊辉
关键字:
p-Laplace, 特征值问题, Fu ik谱, 变号权p-Laplcean; Eigenvalue Problem; Fu Ik Spectrum; Indefinite Weight
期刊名称:
《Pure Mathematics》, Vol.1 No.2, 2011-07-20
摘要:
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。
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.