On Morrey's estimate of the Sobolev norms of solutions of elliptic equations (Q881016)

The goal of this paper is to provide a complete proof of an important result of Morrey which gives an estimate of the \(W^{1,p}\)-norm of a solution of a second-order elliptic equation in a domain in terms of the coefficients of the equation and \(L^1\)-norm of the solution in the same domain. Moreover, the author studies the dependence of the constant in this estimate on the coefficients of the equation.