Elliptic PDE's in probability and geometry: Symmetry and regularity of solutions
type: Item
instance of: scholarly article
title: Elliptic PDE's in probability and geometry: Symmetry and regularity of solutions
zbMATH Open document ID: 1158.35033
author: Xavier Cabré
published in: Discrete and Continuous Dynamical Systems
publication date: 2008-06-18T00:00:00Z
review text: This paper introduces a self-contained account on the study of second order elliptic PDEs with probabilistic and geometric origins. Regularities of these equations, including the Harnack inequality, isoperimetric inequality, symmetric property, are discussed. To this end, a useful technique called the ABP method is applied.
reviewed by: Feng-Yu Wang
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 60G40
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 5290018
zbMATH Keywords: Elliptic equations
zbMATH Keywords: probabilistic and geometry origins
zbMATH Keywords: isoperimetric ptoblem
zbMATH Keywords: symmetry.
MaRDI profile type: Publication
full work available at URL: dcds.2008.20.425
OpenAlex ID: W1969826220
DOI: 10.3934/DCDS.2008.20.425
description: scientific article; zbMATH DE number 5290018