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

[摘要] 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. (c) 2006 Published by Elsevier B.V.

[发布日期] 2007-11-01

[关键词] periodic eigenvalues;Prufer transformation;P-laplacian;rotation number