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

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.