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

نویسندگان

  • C. Chen College of Science‎, ‎Hohai University‎, ‎Nanjing 210098‎, ‎P‎.‎R‎. ‎China.
  • Q. Chen College of Science‎, ‎Hohai University‎, ‎Nanjing 210098‎, ‎P‎.‎R‎. ‎China; Yancheng Institute of Technology‎, ‎Yancheng 224051‎, ‎P‎.‎R‎. ‎China.
چکیده مقاله:

‎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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عنوان ژورنال

دوره 43  شماره 1

صفحات  205- 215

تاریخ انتشار 2017-02-22

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