\(L_p\)-estimates for solutions of second-order elliptic equation Dirichlet problem
type: Item
instance of: scholarly article
title: \(L_p\)-estimates for solutions of second-order elliptic equation Dirichlet problem
zbMATH Open document ID: 1283.35019
author: A. K. Guschin
published in: Theoretical and Mathematical Physics
publication date: 2014-01-24T00:00:00Z
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6250209
zbMATH Keywords: elliptic equation
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: boundary value
zbMATH Keywords: nontangent maximal function
zbMATH Keywords: Carleson measure
MaRDI profile type: Publication
full work available at URL: s11232-013-0018-0
OpenAlex ID: W2013296656
cites work: An Interpolation Problem for Bounded Analytic Functions
cites work: Interpolations by bounded analytic functions and the corona problem
cites work: ON THE DIRICHLET PROBLEM FOR A SECOND-ORDER ELLIPTIC EQUATION
cites work: Q5638625
cites work: ON BOUNDARY VALUES IN $ \mathscr{L}_p$, $ p>1$, OF SOLUTIONS OF ELLIPTIC EQUATIONS IN DOMAINS WITH A LYAPUNOV BOUNDARY
cites work: Solvability of the Dirichlet problem for a general second-order elliptic equation
cites work: On the continuity of the solutions of a class of non-local problems for an elliptic equation
cites work: A condition for the compactness of operators in a certain class and its application to the analysis of the solubility of non-local problems for elliptic equations
cites work: Continuity of Solutions of Parabolic and Elliptic Equations
cites work: A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
cites work: Some properties of the solutions of the Dirichlet problem for a second-order elliptic equation
cites work: A strengthening of the interior Hölder continuity property for solutions of the Dirichlet problem for a second-order elliptic equation
cites work: ON BOUNDARY VALUES IN $ L_p$, $ p > 1$, OF SOLUTIONS OF ELLIPTIC EQUATIONS
cites work: The Dirichlet problem for a second-order elliptic equation with an \(L_{p}\) boundary function
cites work: $ L_p$-estimates of the solution of the Dirichlet problem for second-order elliptic equations
cites work: Q5187597
cites work: ON THE BEST HÖLDER EXPONENTS FOR GENERALIZED SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION
DOI: 10.1007/S11232-013-0018-0
description: scientific article; zbMATH DE number 6250209