Ground state solutions for p-biharmonic equations

In this article we study the p-biharmonic equation $$ \Delta_p^2u+V(x)|u|^{p-2}u=f(x,u),\quad x\in\mathbb{R}^N, $$ where $\Delta_p^2u=\Delta(|\Delta u|^{p-2}\Delta u)$ is the p-biharmonic operator. When V(x) and f(x,u) satisfy some conditions, we prove that the above equations have Nehari-t...

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Bibliographic Details
Main Authors: Xiaonan Liu, Haibo Chen, Belal Almuaalemi
Format: Article
Language:English
Published: Texas State University 2017-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/45/abstr.html