The \(L^{p}\) Robin problem for Laplace equations in Lipschitz and (semi-)convex domains
type: Item
instance of: scholarly article
title: The \(L^{p}\) Robin problem for Laplace equations in Lipschitz and (semi-)convex domains
zbMATH Open document ID: 1379.35070
author: Wen Yuan
author: Sibei Yang
author: Dachun Yang
published in: Journal of Differential Equations
publication date: 2017-11-16T00:00:00Z
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6807500
zbMATH Keywords: Laplace operator
zbMATH Keywords: Robin problem
zbMATH Keywords: Lipschitz domain
zbMATH Keywords: (semi-)convex domain
MaRDI profile type: Publication
full work available at URL: j.jde.2017.09.041
OpenAlex ID: W2764004251
Wikidata QID: Q125888453
cites work: On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
cites work: Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems
cites work: Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces
cites work: Q4389910
cites work: On the Poisson integral for Lipschitz and $C^{1}$-domains
cites work: Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
cites work: Q3258669
cites work: Potential techniques for boundary value problems on \(C^1\)-domains
cites work: The \(L^p\) regularity problem for the Stokes system on Lipschitz domains
cites work: The Neumann problem and Helmholtz decomposition in convex domains
cites work: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
cites work: Elliptic partial differential equations of second order
cites work: Classical Fourier Analysis
cites work: Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
cites work: The Neumann problem on Lipschitz domains
cites work: Q5531949
cites work: Q4305610
cites work: The Neumann problem in \(L^p\) on Lipschitz and convex domains
cites work: On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains
cites work: Coercive energy estimates for differential forms in semi-convex domains
cites work: Boundary value problems for the Laplacian in convex and semiconvex domains
cites work: Multi-layer potentials and boundary problems for higher-order elliptic systems in Lipschitz domains
cites work: Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors
cites work: A uniqueness theorem for a Robin boundary value problem of physical geodesy
cites work: The \(L^{p}\) boundary value problems on Lipschitz domains
cites work: Necessary and sufficient conditions for the solvability of the \(L^p\) Dirichlet problem on Lipschitz domains
cites work: Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
cites work: Weighted estimates in 𝐿² for Laplace’s equation on Lipschitz domains
cites work: Weighted Hardy spaces
cites work: Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
cites work: A geometric approach to the Calderón-Zygmund estimates
cites work: The Neumann problem of Laplace's equation in semiconvex domains
DOI: 10.1016/J.JDE.2017.09.041
description: scientific article; zbMATH DE number 6807500