Some remarks on bounded and unbounded weak solutions of elliptic systems (Q913102)
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: Some remarks on bounded and unbounded weak solutions of elliptic systems |
scientific article; zbMATH DE number 4146566
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on bounded and unbounded weak solutions of elliptic systems |
scientific article; zbMATH DE number 4146566 |
Statements
Some remarks on bounded and unbounded weak solutions of elliptic systems (English)
0 references
1989
0 references
The result of Ladyzhenskaya on global bounds for weak solutions of elliptic equations is carried over to certain quasilinear elliptic systems in diagonal form. A generalization of De Giorgi's example shows that there are unbounded weak solutions for systems with only ``small'' deviation from the diagonal form.
0 references
regularity
0 references
elliptic equations
0 references
quasilinear elliptic systems
0 references
0 references
0 references
