Multiple positive solutions for Kirchhoff type problems involving concave and critical nonlinearities in R³

2016/05/20 by Xiaofei Cao, Cao, Xiaofei, Junxiang Xu +3
Mathematics · Computer Science · Engineering · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1605.06404

Abstract

In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with sub-linear and critical terms on an unbounded domain. With the aid of Ekeland's variational principle and the concentration compactness principle we prove that the Kirchhoff problem has at least two solutions.

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