Terzo problema al contorno per una classe di equazioni ellittiche del secondo ordine a coefficienti discontinui

Abstract

The solvability of the boundary value problem Lu=f a.e. in Ω, u e H2(Ω), ∂u/∂β+µu=0 on ∂Δ is studied, where L is a linear second order elliptic partial differential operator in non-divergence form with discontinuous coefficients, and β is a vector field which forms with the normal axe to ∂Ω an angle smaller than π/2.