Resolvent Estimates in Lp for Elliptic Systems in Lipschitz Domains

We obtain the Lp resolvent estimates in Lipschitz domains in Rn for constant coefficient elliptic systems satisfying the Legendre-Hadamard condition, where 1 ≤ p ≤∞ for n = 3; and 2n/(n + 3) − δ < p < 2n/(n − 3) + δ for n ≥ 4 and some δ = δ(Ω) > 0.