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

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591 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:	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:	24 Oct 2022 09:59
URI:	https://orca.cardiff.ac.uk/id/eprint/42798

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