Multiplicity of solutions for elliptic boundary value problems

In this article, we study the existence of infinitely many solutions for the semilinear elliptic equation $-\Delta u+a(x)u=f(x,u)$ in a bounded domain of $\mathbb{R}^N$ $(N\geq 3)$ with the Dirichlet boundary conditions, where the primitive of the nonlinearity $f$ is either superquadratic at inf...

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Bibliographic Details
Main Author: Yiwei Ye
Format: Article
Language:English
Published: Texas State University 2014-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/140/abstr.html