Multiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problems

We study a superlinear subcritical problem at infinity of the form $-\Delta u=a(x) u^{-\alpha}+f(\lambda,x,u)$ in $\Omega$, $u=0$ on $\partial\Omega$, $u>0$ in $\Omega$, where $\Omega$ is a bounded domain in $\mathbb{R}^{n}$, $0\leq a\in L^{\infty}(\Omega)$, and $0<\alpha<3$. Under suitab...

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Bibliographic Details
Main Authors: Tomas Godoy, Alfredo Guerin
Format: Article
Language:English
Published: University of Szeged 2018-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6305