| Title:
|
On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order (English) |
| Author:
|
Balanda, L. |
| Author:
|
Viszus, E. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
615-625 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to show that Liouville type property is a sufficient and necessary condition for the regularity of weak solutions of nonlinear elliptic systems of the higher order. (English) |
| Keyword:
|
regularity of weak solutions |
| Keyword:
|
nonlinear elliptic systems |
| MSC:
|
35D10 |
| MSC:
|
35G20 |
| MSC:
|
35J45 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0773.35017 |
| idMR:
|
MR1159808 |
| . |
| Date available:
|
2009-01-08T17:47:33Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118441 |
| . |
| Reference:
|
[1] Balanda L., Viszus E.: On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order.to appear. Zbl 0817.35015, MR 1197287 |
| Reference:
|
[2] Giaquinta M., Nečas J.: On the regularity of weak solutions to non-linear elliptic systems of partial differential equations.J. Reine Angew. Math. 316 (1980), 140-159. MR 0581329 |
| Reference:
|
[3] Giaquinta M., Nečas J.: On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property.Comment. Math. Univ. Carolinae 20 (1979), 111-122. Zbl 0396.35047, MR 0526152 |
| Reference:
|
[4] Fučík S., John O., Kufner A.: Function Spaces.Academia, Prague, 1977. MR 0482102 |
| Reference:
|
[5] Nečas J.: Introduction to the theory of non-linear elliptic equations.Teubner-Texte zur Mathematik, Leipzig, 1983. MR 0731261 |
| Reference:
|
[6] Nečas J.: Les méthodes directes en Théorie des équations elliptiques.Academia, Prague, 1967. MR 0227584 |
| . |
