Ground state solutions for p-biharmonic equations

Date

2017-02-14

Authors

Liu, Xiaonan
Chen, Haibo
Almuaalemi, Belal

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article we study the p-biharmonic equation ∆2pu + V(x)|u|p-2u = ƒ(x, u), x ∈ ℝN, where ∆2pu = ∆(|∆u|p-2</sup> ∆u) is the p-biharmonic operator. When V(x) and ƒ(x, u) satisfy some conditions, we prove that the above equations have Nehari-type ground state solutions.

Description

Keywords

p-biharmonic equations, Nehari manifold, Ground state solution

Citation

Liu, X., Chen, H., & Almuaalemi, B. (2017). Ground state solutions for p-biharmonic equations. <i>Electronic Journal of Differential Equations, 2017</i>(45), pp. 1-9.

Rights

Attribution 4.0 International

Rights Holder

Rights License