Existence and Multiplicity of Positive Solutions for Kirchhoff-Type Equations with the Critical Sobolev Exponent

Junjun Zhou, Xiangyun Hu and Tiaojie Xiao

Mathematical Problems in Engineering, 2020, vol. 2020, 1-8

Abstract:

In this paper, we consider the following Kirchhoff-type problems involving critical exponent . The existence and multiplicity of positive solutions for Kirchhoff-type equations with a nonlinearity in the critical growth are studied under some suitable assumptions on and . By using the mountain pass theorem and Brézis–Lieb lemma, the existence and multiplicity of positive solutions are obtained.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3965721

DOI: 10.1155/2020/3965721

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