Fei Fang, Chao Ji, Binlin Zhang
Abstract:
In this article, we study the biharmonic elliptic problem with
the secondnd Hessian
where
is a sign-changing weight function.
By using variational methods and some properties of the Nehari manifold,
we prove that the biharmonic elliptic problem has at least two nontrivial
solutions.
Submitted August 18, 2016. Published October 26, 2016.
Math Subject Classifications: 35J50, 35J60, 35J62, 35J96.
Key Words: Biharmonic elliptic problem; second Hessian; variational methods;
Nehari manifold.
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Fei Fang Department of Mathematics Beijing Technology and Business University Beijing 100048, China email: fangfei68@163.com | |
Chao Ji Department of Mathematics East China University of Science and Technology Shanghai 200237, China email: jichao@ecust.edu.cn | |
Binlin Zhang Department of Mathematics Heilongjiang Institute of Technology Harbin 150050, China email: zhangbinlin2012@163.com |
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