Multiple solutions for the fourth-order Kirchhoff type problems in $ \mathbb{R}^N $ involving concave-convex nonlinearities

Multiple solutions for the fourth-order Kirchhoff type problems in $ \mathbb{R}^N $ involving concave-convex nonlinearities

In this paper, we study the multiplicity of solutions for the following fourth-order Kirchhoff type problem involving concave-convex nonlinearities and indefinite weight function $ \begin{equation*} \Delta^2u-\left(a+b\int_{ \mathbb{R}^N}|\nabla u|^2dx\right)\Delta u+V(x)u = \lambda f(x)|u|^{q-2}...

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Bibliographic Details
Main Authors: Zijian Wu, Haibo Chen
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:Electronic Research Archive
Subjects:
fourth-order kirchhoff type problems
multiple solutions
indefinite weight functions
nehari manifold
fibering maps
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022044?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2022044?viewType=HTML

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