Existence and regularity of weak solutions for singular elliptic problems

In this article we study the semilinear singular elliptic problem $$\displaylines{ -\Delta u = \frac{p(x)}{u^{\alpha}}\quad \text{in } \Omega \cr u = 0\quad \text{on } \partial\Omega,\quad u>0 \text{ in } \Omega, }$$ where $\Omega$ is a regular bounded domain of $\mathbb R^{N}$, $\alpha\i...

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Bibliographic Details
Main Authors: Brahim Bougherara, Jacques Giacomoni, Jesus Hernandez
Format: Article
Language:English
Published: Texas State University 2015-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/22/b1/abstr.html