Positive normalized solutions to a singular elliptic equation with a $L^2$-supercritical nonlinearity

Siyu Chen, Xiaojun Chang, Jiazheng Zhou

This paper studies the existence of positive normalized solutions to the singular elliptic equation \[ -Δu + λu = u^{-r} + u^{p-1} \quad \text{in } Ω, \] with the Dirichlet boun…