Multiple Solutions for the Asymptotically Linear Kirchhoff Type Equations on

Yu Duan and Chun-Lei Tang

International Journal of Differential Equations, 2016, vol. 2016, 1-9

Abstract:

The multiplicity of positive solutions for Kirchhoff type equations depending on a nonnegative parameter on is proved by using variational method. We will show that if the nonlinearities are asymptotically linear at infinity and is sufficiently small, the Kirchhoff type equations have at least two positive solutions. For the perturbed problem, we give the result of existence of three positive solutions.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:9503073

DOI: 10.1155/2016/9503073

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