Add to ORKGWe consider a homogeneous elliptic Dirichlet problem involving an Ornstein-Uhlenbeck operator in a half space of R^2. We show that for a particular initial datum, which is Lipschitz continuous and bounded, the second derivative of the classical solution is not uniformly continuous. In particular this implies that the well known maximal Holder-regularity results fail in general for Dirichlet problems in unbounded domains involving unbounded coefficients
We show continuity in generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\mathbb{R}^n)$ of sublin...
In this paper we study partial and anisotropic Schauder estimates for linear and nonlinear elliptic...
Consider the Dirichlet problem for elliptic and parabolic equations in non-divergence form with vari...
We study a homogeneous infinite dimensional Dirichlet problem in a half-space of a Hilbert space inv...
We consider an elliptic Dirichlet problem which involves Ornstein–Uhlenbeck operators of special for...
We prove a sharp form of Schauder estimates for a second order infinite-dimensional elliptic operato...
We consider a class of second-order uniformly elliptic operators A with unbounded coefficients in RN...
We consider a class of possibly degenerate second order elliptic operators A on R^n. This class incl...
We introduce a new method for proving the estimate Equation Omitted. Where u solves the equation 	...
We consider a class of possibly degenerate second order elliptic operators A on Rn. This class inclu...
Regularity of solutions is an important part of the theory of partial differential equations. In thi...
summary:In this review article we present an overview on some a priori estimates in $L^p$, $p>1$, re...
Consider the Dirichlet problem for elliptic and parabolic equations in nondivergence form with varia...
We prove a W2,p-a priori bound, p > 1, for a class of uniformly elliptic second order differential o...
AbstractThe present paper discusses relations between regularity, Dirichlet, and Neumann problems. W...
We show continuity in generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\mathbb{R}^n)$ of sublin...
In this paper we study partial and anisotropic Schauder estimates for linear and nonlinear elliptic...
Consider the Dirichlet problem for elliptic and parabolic equations in non-divergence form with vari...
We study a homogeneous infinite dimensional Dirichlet problem in a half-space of a Hilbert space inv...
We consider an elliptic Dirichlet problem which involves Ornstein–Uhlenbeck operators of special for...
We prove a sharp form of Schauder estimates for a second order infinite-dimensional elliptic operato...
We consider a class of second-order uniformly elliptic operators A with unbounded coefficients in RN...
We consider a class of possibly degenerate second order elliptic operators A on R^n. This class incl...
We introduce a new method for proving the estimate Equation Omitted. Where u solves the equation 	...
We consider a class of possibly degenerate second order elliptic operators A on Rn. This class inclu...
Regularity of solutions is an important part of the theory of partial differential equations. In thi...
summary:In this review article we present an overview on some a priori estimates in $L^p$, $p>1$, re...
Consider the Dirichlet problem for elliptic and parabolic equations in nondivergence form with varia...
We prove a W2,p-a priori bound, p > 1, for a class of uniformly elliptic second order differential o...
AbstractThe present paper discusses relations between regularity, Dirichlet, and Neumann problems. W...
We show continuity in generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\mathbb{R}^n)$ of sublin...
In this paper we study partial and anisotropic Schauder estimates for linear and nonlinear elliptic...
Consider the Dirichlet problem for elliptic and parabolic equations in non-divergence form with vari...