Existence and multiplicity of positive radial solutions to nonlocal boundary-value problems in exterior domains

Abstract

In this article, we consider nonlocal p-Laplacian boundary-value problems with integral boundary conditions and a non-negative real-valued boundary condition as a parameter. The main purpose is to study the existence, nonexistence and multiplicity of positive solutions as the boundary parameter varies. Moreover, we prove a sub-super solution theorem, using fixed point index theorems.

Keywords

• p-Laplacian
• nonlocal boundary condition
• sub-supersolution
• multiplicity