N. Krylov

activity

20022026

most citedA priori estimates of smoothness of solutions to difference Bellman equations with linear and quasilinear operators

18 citations · 145 across the 43 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.AP2016

On nonequivalence of regular boundary points for second-order elliptic operators

N. V. Krylov, Timur Yastrzhembskiy

In this paper we present examples of nondivergence form second order elliptic operators with continuous coefficients such that $L$ has an irregular boundary point that is regular f…

math.AP2016★ 1 cited

On the existence of $W_{p}^{2}$ solutions for fully nonlinear elliptic equations under either relaxed or no convexity assumptions

N. V. Krylov

We establish the existence of solutions of fully nonlinear elliptic second-order equations like $H (v, D v, D^{2} v, x) = 0$ in smooth domains without requiring $H$ to be convex or concave…

On nonequivalence of regular boundary points for second-order elliptic operators

On the existence of Wp2​ solutions for fully nonlinear elliptic equations under either relaxed or no convexity assumptions

On the existence of $W_{p}^{2}$ solutions for fully nonlinear elliptic equations under either relaxed or no convexity assumptions