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Eigenvalues of the radial p-Laplacian with a potential on (0,∞)

Brown, Brian Malcolm and Eastham, M. S. P. 2007. Eigenvalues of the radial p-Laplacian with a potential on (0,∞). Journal of Computational and Applied Mathematics 208 (1) , pp. 111-119. 10.1016/j.cam.2006.10.046

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Abstract

Brown and Reichel recently established the existence of eigenvalues for the p-Laplacian on R+ when the potential q is either (i) large and positive or (ii) sufficiently large and negative (“limit-circle” case) at infinity. Their methods imposed extra restrictions on q. In this paper, these restrictions are removed. In addition, the case where q decays at infinity is also shown to produce negative eigenvalues, and a condition is given under which there are only a finite number of such eigenvalues.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords: Periodic eigenvalues; Prüfer transformation; P-Laplacian; Rotation number
Publisher: Elsevier
ISSN: 0377-0427
Last Modified: 04 Jun 2017 04:40
URI: http://orca-mwe.cf.ac.uk/id/eprint/42798

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