Etude de l'équation (1/2) \(\Delta u-u\mu =0\), où \(\mu\) est une mesure positive. (Study of the equation (1/2) \(\Delta u-u\mu =0\), where \(\mu\) is a positive measure)
type: Item
instance of: scholarly article
title: Etude de l'équation (1/2) \(\Delta u-u\mu =0\), où \(\mu\) est une mesure positive. (Study of the equation (1/2) \(\Delta u-u\mu =0\), where \(\mu\) is a positive measure)
zbMATH Open document ID: 0645.35018
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74807
review text: On montre que les solutions faibles de l'équation \(\Delta u-u\mu =0\), où \(\mu\) est une mesure positive négligeant les polaires, vérifient une inégalité de Harnack. On s'occupe également des sursolutions dont on fait la représentation intégrale à l'aide d'une fonction de Green. Comme les solutions sont discontinues, on est amené à utiliser les formules probabilistes.
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 4052104
zbMATH Keywords: weak solution
zbMATH Keywords: positive measure
zbMATH Keywords: Harnack inequality
zbMATH Keywords: supersolution
zbMATH Keywords: integral representation
zbMATH Keywords: Green function
author: Denis Feyel
author: Arnaud De La Pradelle
MaRDI profile type: Publication
OpenAlex ID: W2005297481
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DOI: 10.5802/AIF.1145
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4052104