Yan-Hsiou Cheng, Chun-Kong Law, Yu-Chen Luo
Abstract:
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
) is equidistributed
in
. As a function of x,
is also asymptotic to
the uniform distribution on
(0,\pi_p).
Submitted November 11, 2014. Published December 4, 2014.
Math Subject Classifications: 34B24, 37A30
Key Words: p-Laplacian eigenvalue problem; Prufer angle;
equidistribution; uniform distribution.
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Yan-Hsiou Cheng Department of Mathematics and Information Education National Taipei University of Education Taipei 106, Taiwan email: yhcheng@tea.ntue.edu.tw | |
Chun-Kong Law Department of Applied Mathematics National Sun Yat-sen University Kaohsiung 80424, Taiwan email: law@math.nsysu.edu.tw | |
Yu-Chen Luo Department of Applied Mathematics National Sun Yat-sen University Kaohsiung 80424, Taiwan email: leoredro@gmail.com |
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