Distribution of the Prufer angle in p-Laplacian eigenvalue problems

oleh: Yan-Hsiou Cheng, Chun-Kong Law, Yu-Chen Luo

Format: Article
Diterbitkan: Texas State University 2014-12-01

Deskripsi

The Prufer angle is an effective tool for studying Sturm-Liouville problems and p-Laplacian eigenvalue problems. In this article, we show that for the p-Laplacian eigenvalue problem, when x is irrational in (0,1), a sequence of modified Prufer angles (after modulo $\pi_p$) is equidistributed in $(0,\pi_p)$. As a function of x, $\psi_n$ is also asymptotic to the uniform distribution on $(0,\pi_p)$.