Existence results for the equation \(-\Delta u=f (x,u)\) in \(\mathbb{R}^n\) (Q1578924)
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: Existence results for the equation \(-\Delta u=f (x,u)\) in \(\mathbb{R}^n\) |
scientific article; zbMATH DE number 1501875
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for the equation \(-\Delta u=f (x,u)\) in \(\mathbb{R}^n\) |
scientific article; zbMATH DE number 1501875 |
Statements
Existence results for the equation \(-\Delta u=f (x,u)\) in \(\mathbb{R}^n\) (English)
0 references
21 February 2001
0 references
Summary: Strong solutions to the class of semilinear elliptic equations \(-\Delta u= f(x,u)\) on the entire space and with possibly supercritical growth for \(f(x,\cdot)\) are obtained by mainly using fixed point arguments. The case of discontinuous nonlinearities is then examined.
0 references
elliptic equations in the whole space
0 references
discontinuous nonlinearities
0 references
strong solutions
0 references
