# Infinitely many solutions for a class of $p$-biharmonic‎ ‎equation in $\mathbb{R}^N$

Document Type: Research Paper

Authors

1 College of Science‎, ‎Hohai University‎, ‎Nanjing 210098‎, ‎P‎.‎R‎. ‎China; Yancheng Institute of Technology‎, ‎Yancheng 224051‎, ‎P‎.‎R‎. ‎China.

2 College of Science‎, ‎Hohai University‎, ‎Nanjing 210098‎, ‎P‎.‎R‎. ‎China.

Abstract

‎Using variational arguments‎, ‎we prove the existence of infinitely‎ ‎many solutions to a class of $p$-biharmonic equation in‎ ‎$\mathbb{R}^N$‎. ‎The existence of‎ ‎nontrivial‎ ‎solution is established under a new‎ ‎set of hypotheses on the potential $V(x)$ and the weight functions‎ ‎$h_1(x)‎, ‎h_2(x)$‎.

Keywords

Main Subjects

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### History

• Receive Date: 10 March 2015
• Revise Date: 26 October 2015
• Accept Date: 02 November 2015