Existence and concentration of solutions for sublinear fourth-order elliptic equations

This article concerns the fourth-order elliptic equations $$\displaylines{ \Delta^{2}u-\Delta u+\lambda V(x)u=f(x, u), \quad x\in \mathbb{R}^N,\cr u\in H^{2}(\mathbb{R}^N), }$$ where $\lambda >0$ is a parameter, $V\in C(\mathbb{R}^N)$ and $V^{-1}(0)$ has nonempty interior. Under some m...

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Bibliographic Details
Main Authors: Wen Zhang, Xianhua Tang, Jian Zhang
Format: Article
Language:English
Published: Texas State University 2015-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/03/abstr.html