Extremal parameters, multiplicity and nonexistence for a singular elliptic problem

J. C. de Albuquerque, M. L. M. Carvalho, Edcarlos D. Silva +1

We consider the following class of singular elliptic problems \[ \begin{cases} -Δu = -\dfrac{u}{|u|^{β+1}}χ_{\{|u|>0\}} +λ|u|^{p-1}u, & \text{in }Ω,\\[1mm] u=0, & \text{on }\partia…