Super and subsolutions for elliptic equations on all of \(\mathbb R^n\) (Q1848008)
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: Super and subsolutions for elliptic equations on all of \(\mathbb R^n\) |
scientific article; zbMATH DE number 1821310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Super and subsolutions for elliptic equations on all of \(\mathbb R^n\) |
scientific article; zbMATH DE number 1821310 |
Statements
Super and subsolutions for elliptic equations on all of \(\mathbb R^n\) (English)
0 references
29 October 2002
0 references
Summary: By construction sub and supersolutions for the following semilinear elliptic equation \(-\Delta u(x)=\lambda g(x)f(u(x))\), \(x\in \mathbb R^n\) which arises in population genetics, we derive some results about the theory of existence of solutions as well as asymptotic properties of the solutions for every \(n\) and for the function \(g:\mathbb R^n\to \mathbb R\) such that \(g\) is smooth and is negative at infinity.
0 references
