Existence and multiplicity of positive radial solutions to the Dirichlet problem for nonlinear elliptic equations on annular domains

Abstract

In this paper, we study the existence and nonexistence of mono- tone positive radial solutions of elliptic boundary value problems on bounded annular domains subject to local boundary condition. By using Krasnoselskii's xed point theorem of cone expansion-compression type we show that there exists > 0 such that the elliptic equation has at least two, one and no radial positive solutions for 0 respectively. We include an example to illustrate our results.