一类具有双权退化椭圆算子的Picone恒等式及其应用  

A kind of Picone identity with the double right degenerate ellipse operator and its application

作　　者：王胜军[1] 

机构地区：[1]青海广播电视大学,青海西宁810008

出　　处：《青海大学学报（自然科学版）》2007年第3期71-73,共3页Journal of Qinghai University(Natural Science)

摘　　要：提出一类比广义Baouendi-Grushin算子更为广泛的双权退化椭圆算子,首先建立该椭圆算子L的Picone恒等式,然后作为所建立的Picone恒等式的应用,给出该椭圆算子L的Hardy不等式及一个Strurm型比较结果。A kind of double fight degenerate ellipse operator which is much more than the generalized Baouendi - Grushin operator is put forward. The Picone identity of the ellipse operator L is set up first and then the Hardy ineguality of the ellipse operator L and a Strum type compare result are shown out as the application of the Picone identity.

关 键 词：双权退化椭圆算子:Picone恒等式 HARDY不等式 Strurm型比较结果 

分 类 号：O175.25[理学—数学]