Volume no :4, Issue no: 2, November (2010)

Journal of Pure and Applied Mathematics: Advances and Applications

ON UNIQUENESS OF POSITIVE RADIAL SOLUTIONS FOR POISSON EQUATION WITH NON-SMOOTH NONLINEARITIES

Author's: Sikiru Adigun Sanni and Xavier Udo-Utun
Pages: [229] - [239]
Received Date: September 26, 2010
Submitted by:

Abstract

In this work, we derive a convolution-type Voltera integral equation for singular nonlinear equation and use the Schauder-Tychonoff fixed point theorem to proof existence and uniqueness of a fixed point of the resulting operator.

Keywords

Poisson equation, radial solution, non-smooth nonlinearities, existence and uniqueness.