| Title:
|
A note on regular points for solutions of nonlinear elliptic systems (English) |
| Author:
|
Daněček, Josef |
| Author:
|
Viszus, Eugen |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
105-116 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown in this paper that gradient of vector valued function $ u(x), $ solution of a nonlinear elliptic system, cannot be too close to a straight line without $ u(x) $ being regular. (English) |
| Keyword:
|
nonlinear elliptic systems |
| Keyword:
|
regularity |
| MSC:
|
35B65 |
| MSC:
|
35J45 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0903.35010 |
| idMR:
|
MR1407342 |
| . |
| Date available:
|
2008-06-06T21:30:24Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107565 |
| . |
| Reference:
|
[1] Campanato, S.: Sistemi ellittici in forma divergenza. Regolarita all’interno.Quaderni, Pisa, 1980. Zbl 0453.35026, MR 0668196 |
| Reference:
|
[2] Daněček, J.: On the regularity of weak solutions to nonlinear elliptic systems of second order.Zeitschrift für Analysis und ihre Anwendungen Bd. 9(6) (1990), 535–544. MR 1119297 |
| Reference:
|
[3] Giusti, E., Modica, G.: A note one regular points for solutions of elliptic systems.Manuscripta mathematica 29 (1979), 417–426. MR 0545051 |
| Reference:
|
[4] Kufner, A., John, O., Fučik, S.: Function spaces.Academia, Prague, 1977. MR 0482102 |
| Reference:
|
[5] Nečas, J.: Introduction to the theory of nonlinear elliptic equations.Teubner-Texte zur Math., Leipzig, 1983. MR 0731261 |
| Reference:
|
[6] Nečas, J., Stará, J.: Principio di massimo per i sistemi ellitici quasilineari non diagonali.Bol.U.M.I. (4)6 (1972), 1–10. MR 0315281 |
| . |
