Infinitely many solutions for a class of biharmonic equations with indefinite potentials

In this paper, we consider the following sublinear biharmonic equations\begin{equation*} \Delta^2 u + V\left( x \right)u =K(x)|u|^{p-1}u,\ x\in \mathbb{R}^N, \end{equation*}where $N\geq5,~0<p<1$, and $K, V$ both change sign in $\mathbb{R}^N$. We prove that the problem has infinitely ma...

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Bibliographic Details
Main Authors: Wen Guan, Da-Bin Wang, Xinan Hao
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020235/fulltext.html