Classification and probabilistic representation for the positive solutions of a semilinear elliptic equation.
type: Item
instance of: scholarly article
title: Classification and probabilistic representation for the positive solutions of a semilinear elliptic equation.
zbMATH Open document ID: 1101.35319
DOI: 10.1016/S1631-073X(02)02557-8
author: Benoit Mselati
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2003-05-27T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1921068
MaRDI profile type: Publication
cites work: Stochastic boundary values and boundary singularities for solutions of the equation \(Lu=u^\alpha\)
cites work: Q4529787
cites work: Superdiffusions and removable singularities for quasilinear partial differential equations
cites work: Solutions of \(Lu = u^ \alpha\) dominated by \(L\)-harmonic functions
cites work: Trace on the boundary for solutions of nonlinear differential equations
cites work: Q4257024
cites work: Q4289131
cites work: The Brownian snake and solutions of \(\Delta u = u^ 2\) in a domain
cites work: A probabilistic Poisson representation for positive solutions of ?u = u2 in a planar domain
cites work: Q4266067
cites work: Q4715863
cites work: The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case
cites work: The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case
full work available at URL: s1631-073x(02)02557-8
OpenAlex ID: W2031248830
description: scientific article; zbMATH DE number 1921068