Multiple positive solutions for Kirchhoff type problems involving concave and critical nonlinearities in ${R}^3$

arxiv: 1605.06404 · v1 · pith:CUGSFKY2new · submitted 2016-05-20 · 🧮 math.FA · math.AP

Multiple positive solutions for Kirchhoff type problems involving concave and critical nonlinearities in {R}³

Xiaofei Cao , Junxiang Xu , Jun Wang This is my paper

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keywords kirchhoffsolutionscriticalprincipleproblemstypeclasscompactness

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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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Multiple positive solutions for Kirchhoff type problems involving concave and critical nonlinearities in {R}³

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