Homogeneous Calderón–Zygmund estimates for a class of second-order elliptic operators
Giovanni Paolo Galdi, Giorgio Metafune, Chiara Spina, Cristian Tacelli · Communications in Contemporary Mathematics · 2014
We prove unique solvability and corresponding homogeneous Lp estimates for the Poisson problem associated to the uniformly elliptic operator [Formula: see text], provided the coefficients are bounded and uniformly continuous, and admit a (non-zero) limit as |x| goes to infinity. Some important consequences are also derived.