The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity

Jiangyan Yao and Wei Han

Discrete Dynamics in Nature and Society, 2019, vol. 2019, 1-10

Abstract:

In this paper, we firstly discuss the existence of the least energy sign-changing solutions for a class of p-Kirchhoff-type problems with a - linear growth nonlinearity. The quantitative deformation lemma and Non-Nehari manifold method are used in the paper to prove the main results. Remarkably, we use a new method to verify that . The main results of our paper are the existence of the least energy sign-changing solution and its corresponding energy doubling property. Moreover, we also give the convergence property of the least energy sign-changing solution as the parameter .

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:3713909

DOI: 10.1155/2019/3713909

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