Positive solution curves of an infinite semipositone problem

In this article we consider the infinite semipositone problem $-\Delta u =\lambda f(u)$ in $\Omega$, a smooth bounded domain in $\mathbb{R}^N$, and $u=0$ on $\partial\Omega$, where $f(t) = t^q-t^{-\beta}$ and $0 < q$, $\beta <1$. Using stability analysis we prove the existence of a connec...

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Bibliographic Details
Main Author: Rajendran Dhanya
Format: Article
Language:English
Published: Texas State University 2018-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/178/abstr.html