Weighted inequalities with Holder norms of solutions to Lu=divf in non-smooth domains
Caroline Sweezy · 2009
The rate of change of a solution to Lu=divf→ in a bounded, non-smooth domain Ω in Rd, d ≥ 3, u=0 on ∂Ω, is investigated using a local Holder norm of u and different measures on Ω. Results for L = Σij-1d ∂/∂xi(aij(x)∂/∂xj are presented.