Fractional elliptic equations with critical growth and singular nonlinearities
In this article, we study the fractional Laplacian equation with critical growth and singular nonlinearity $$\displaylines{ (-\Delta)^s u = \lambda a(x)u^{-q} + u^{{2^*_s}-1}, \quad u>0 \quad \text{in }\Omega,\cr u = 0 \quad \text{in } \mathbb{R}^n \setminus\Omega, }$$ where $\Omega$ is...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/54/abstr.html |