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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 $(0,\pi_p)$.