Infinitely many solutions for elliptic boundary value problems with sign-changing potential

In this article, we study the elliptic boundary value problem $$\displaylines{ -\Delta u+a(x)u=g(x, u) \quad \text{in } \Omega,\cr u = 0\quad \text{on } \partial \Omega, }$$ where $ \Omega\subset \mathbb{R}^N$ $(N\geq3)$ is a bounded domain with smooth boundary $ \partial\Omega$ and the...

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Bibliographic Details
Main Authors: Wen Zhang, Xianhua Tang, Jian Zhang
Format: Article
Language:English
Published: Texas State University 2014-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/53/abstr.html