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

Abstract EN

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 b↘0.