Existence of nonnegative solutions for singular elliptic problems
We prove the existence of nonnegative nontrivial weak solutions to the problem $$\displaylines{ -\Delta u=au^{-\alpha}\chi_{\{ u>0\} }-bu^p\quad\text{in }\Omega, \cr u=0\quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded domain in $\mathbb{R}^{n}$. A sufficient condition for the...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-07-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/191/abstr.html |