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

preprint2016arXivOpen access

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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Multiple positive solutions for Kirchhoff type problems involving concave and critical nonlinearities in R3{R}^3R3

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