International Journal of Mathematics and Mathematical Sciences

Volume 2009 (2009), Article ID 243048, 11 pages

doi:10.1155/2009/243048

## On the Existence, Uniqueness, and Basis Properties of Radial Eigenfunctions of a Semilinear Second-Order Elliptic Equation in a Ball

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia

Received 29 July 2009; Accepted 21 October 2009

Academic Editor: Manfred H. Moller

Copyright © 2009 Peter Zhidkov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

We consider the following eigenvalue problem: