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

Author:

Yao Jiangyan1,Han Wei1ORCID

Affiliation:

1. Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

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 (2p-1)-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 Mb. 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 b0.

Funder

North University of China

Publisher

Hindawi Limited

Subject

Modelling and Simulation

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