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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Volume 43, Issue 1

January and February 2017

Pages 205-215

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