Estimates in the generalized Campanato-John-Nirenberg spaces for fully nonlinear elliptic equations.
type: Item
instance of: scholarly article
title: Estimates in the generalized Campanato-John-Nirenberg spaces for fully nonlinear elliptic equations.
zbMATH Open document ID: 1039.35034
DOI: 10.1215/S0012-7094-03-11811-6
author: Luis Caffarelli
author: Qingbo Huang
published in: Duke Mathematical Journal
publication date: 2003-01-01T00:00:00Z
review text: The authors consider estimates in the generalized Campanato-John-Nirenberg spaces \(\text{BMO}_\Psi\) for solutions to the fully nonlinear elliptic equation \(F(x, D^2u)= f(x),\) where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\). To obtain \(\text{BMO}_\Psi\)-estimates the authors use a perturbation argument and first prove that the Evans-Krylov estimates imply Campanato inequalities.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 2032540
zbMATH Keywords: Campanato-John-Nirenberg space
zbMATH Keywords: Evans-Krylov estimate
zbMATH Keywords: nonlinear elliptic equation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: s0012-7094-03-11811-6
OpenAlex ID: W2084421874
description: scientific article; zbMATH DE number 2032540