N. V. Krylov, University of Minnesota, Minneapolis, MN.
Bellman's equations with constant ``coefficients'' in the whole space Estimates in $L_p$ for solutions of the Monge-Ampere type equations The Aleksandrov estimates First results for fully nonlinear equations Finite-difference equations of elliptic type Elliptic differential equations of cut-off type Finite-difference equations of parabolic type Parabolic differential equations of cut-off type A priori estimates in $C^\alpha$ for solutions of linear and nonlinear equations Solvability in $W^2_{p,\mathrm{loc}}$ of fully nonlinear elliptic equations Nonlinear elliptic equations in $C^{2+\alpha}_{\mathrm{loc}}(\Omega)\cap C(\overline{\Omega})$ Solvability in $W^{1,2}_{p,\mathrm{loc}}$ of fully nonlinear parabolic equations Elements of the $C^{2+\alpha}$-theory of fully nonlinear elliptic and parabolic equations Nonlinear elliptic equations in $W^2_p(\Omega)$ Nonlinear parabolic equations in $W^{1,2}_p$ $C^{1+\alpha}$-regularity of viscosity solutions of general parabolic equations $C^{1+\alpha}$-regularity of $L_p$-viscosity solutions of the Isaacs parabolic equations with almost VMO coefficients Uniqueness and existence of extremal viscosity solutions for parabolic equations Appendix A. Proof of Theorem 6.2.1 Appendix B. Proof of Lemma 9.2.6 Appendix C. Some tools from real analysis Bibliography Index