Multiple positive solutions for superlinear Kirchhoff type problems on R^N

Abstract

In this article, we study the multiplicity of positive solutions for a class of Kirchhoff type problems depending on two real functions and a nonnegative parameter on an unbounded domain. Using the variational method and iterative techniques, we show that if the nonlinearity is subcritical and superlinear at zero and infinity, then the Kirchhoff type problems admits at least two positive solutions when the parameter is sufficiently small.

Keywords

• Kirchhoff type problems
• Pohozaev identity
• variational method
• iterative technique