Existence results for elliptic equations

This paper is concerned with the Dirichlet problem for second-order elliptic equations in nondivergence form with discontinuous coefficients in an unbounded open subset Ω of Rn, n 3. An our recent a priori estimate combined with the Fredholm index theory and a generalized method of continuity allows us to establish some unique solvability results for the given problem.  2002 Elsevier Science (USA). All rights reserved.