Multiple solutions to asymmetric semilinear elliptic problems via Morse theory

In this article we study the existence of solutions to the problem $$\displylines{ -\Delta u = g(x,u) \quad \text{in } \Omega; \cr u = 0 \quad\text{on } \partial\Omega, }$$ where $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$ $(N\geq 2)$ and $g:\overline{\Omega}\times\mathbb{R}\to...

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Bibliographic Details
Main Authors: Leandro L. Recova, Adolfo J. Rumbos
Format: Article
Language:English
Published: Texas State University 2014-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/207/abstr.html