Criteria for the existence of positive solutions to the equation \(\rho(x)\Delta u=u^2\) in \(\mathbb{R}^d\) for all \(d\geq 1\) -- a new probabilistic approach (Q1590223)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Criteria for the existence of positive solutions to the equation \(\rho(x)\Delta u=u^2\) in \(\mathbb{R}^d\) for all \(d\geq 1\) -- a new probabilistic approach |
scientific article; zbMATH DE number 1545634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Criteria for the existence of positive solutions to the equation \(\rho(x)\Delta u=u^2\) in \(\mathbb{R}^d\) for all \(d\geq 1\) -- a new probabilistic approach |
scientific article; zbMATH DE number 1545634 |
Statements
Criteria for the existence of positive solutions to the equation \(\rho(x)\Delta u=u^2\) in \(\mathbb{R}^d\) for all \(d\geq 1\) -- a new probabilistic approach (English)
0 references
13 June 2001
0 references
measure-valued process
0 references
superprocess
0 references
diffusion process
0 references
log-Laplace equation
0 references
branching
0 references
\(h\)-transform
0 references
positive solutions to nonlinear PDEs
0 references
0.89406276
0 references
0.8872853
0 references
0.88714725
0 references
0.8862997
0 references
0.8851602
0 references
0.8850424
0 references
0.87731934
0 references
