^{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 $h_1(x), h_2(x)$.

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