Resumen de Semilinear elliptic equations with Hardy potential and gradient nonlinearity

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

• Let RN (N≥3) be a C2 bounded domain, and let δ be the distance to ∂Ω. In this paper, we study positive solutions of the equation (⋆) −Lμu+g(|∇u|)=0 in Ω, where Lμ=Δ+μ/δ2, μ∈(0,1/4] and g is a continuous, nondecreasing function on R+.