Alternate steady states for classes of reaction diffusion models on exterior domains (Q478901)
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: Alternate steady states for classes of reaction diffusion models on exterior domains |
scientific article; zbMATH DE number 6376969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Alternate steady states for classes of reaction diffusion models on exterior domains |
scientific article; zbMATH DE number 6376969 |
Statements
Alternate steady states for classes of reaction diffusion models on exterior domains (English)
0 references
5 December 2014
0 references
Positive radial solutions are obtained for the semilinear equation in the exterior domain with a certain range of the parameter leading to the occurrence of an S-shaped bifurcation curve when the nonlinearity satisfies some additional assumptions. The method of sub-supersolution is applied. In addition, two models arisen in the study of ecosystems are also considered.
0 references
sub-supersolution method
0 references
Steady states
0 references
exterior domains
0 references
0 references
