Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent
We study the following singular elliptic equation with critical exponent ⎧ in Ω, ⎨u > 0 in Ω, ⎩u = 0 on ∂Ω, where (N≥3) is a smooth bounded domain, and λ > 0, γ ∈ (0,1) are real parameters. Under appropriate assumptions on Q, by the constrained minimizer and perturbation methods, we obtain two positive solutions for all λ > 0 small enough.