Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded. For nondivergence elliptic equations in domains satisfying an exterior cone condition, similar results were obtained by J. H. Michael, who in turn relied on …