Chen, Q., Chen, C. (2017). Infinitely many solutions for a class of $p$-biharmonic equation in $\mathbb{R}^N$. Bulletin of the Iranian Mathematical Society, 43(1), 205-215.

Q. Chen; C. Chen. "Infinitely many solutions for a class of $p$-biharmonic equation in $\mathbb{R}^N$". Bulletin of the Iranian Mathematical Society, 43, 1, 2017, 205-215.

Chen, Q., Chen, C. (2017). 'Infinitely many solutions for a class of $p$-biharmonic equation in $\mathbb{R}^N$', Bulletin of the Iranian Mathematical Society, 43(1), pp. 205-215.

Chen, Q., Chen, C. Infinitely many solutions for a class of $p$-biharmonic equation in $\mathbb{R}^N$. Bulletin of the Iranian Mathematical Society, 2017; 43(1): 205-215.

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

^{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.

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

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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