Existencia de soluciones para alguna ecuación elíptica degenerada en condiciones de contorno de Fourier

This paper aims to study the existence of renormalized solutions for the anisotropic elliptic problem with a Hardy potential and Fourier boundary conditions −ΣNi=1 Di ai(x, u, ∇u) + α|u|r(x) - 1 u = ν |u|p0(x)−2u /|x|p0(x) + f(x) in Ω,ΣNi=1 ai(x, u, ∇u) · ni + λu = g(x) on ∂Ω, where Ω is an open bounded subset of RN (N ≥ 2), the data f belongs to L1(Ω), g ∈ L1(∂Ω) and α, λ, ν > 0. with ai(x, s, ξ) are Carath´eodory functions that verifying some nonstandard conditions.