| Title:
|
On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order (English) |
| Author:
|
Balanda, Lubomír |
| Author:
|
Viszus, Eugen |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
373-392 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to show that the Liouville-type property is a sufficient and necessary condition for the regularity of weak solutions of quasilinear elliptic systems of higher orders. (English) |
| Keyword:
|
Liouville property |
| Keyword:
|
regularity |
| Keyword:
|
regularity of weak solutions |
| Keyword:
|
quasilinear elliptic systems |
| MSC:
|
35B65 |
| MSC:
|
35D10 |
| MSC:
|
35J45 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0817.35015 |
| idMR:
|
MR1197287 |
| DOI:
|
10.21136/MB.1992.126063 |
| . |
| Date available:
|
2009-09-24T20:55:10Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126063 |
| . |
| Reference:
|
[1] Giaquinta M., Nečas J.: On the regularity of weak solutions to non-linear elliptic systems of partial differential equations.J. Reine Angew. Math. 316 (19S0), 140-159. MR 0581329 |
| Reference:
|
[2] Giaquinta M., Nečas J.: On the regularity of weak solutions to non-linear elliptic systems via Liouville's type property.Comm. Math. Univ. Carol. 50 (1979), 111-122. MR 0526152 |
| Reference:
|
[3] Giusti E.: Regolaritá parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario.Ann. Scuola Norm. Sup. Pisa 23 (1969), 115-141. MR 0247258 |
| Reference:
|
[4] Kawohl B.: On Liouville theorem, continuity and Hölder continuity of weak solution to some quasilinear elliptic systems.Comm. Math. Univ. Carol. 21 (1980), 679-697. MR 0597758 |
| Reference:
|
[5] Kufner A., Fučík S., John O.: Function Spaces.Academia, Prague, 1977. MR 0482102 |
| Reference:
|
[6] Meier M.: Liouville theorems for non-linear elliptic equations and systems.Manuscripta Math. 29 (1979), 207-228. MR 0545042, 10.1007/BF01303628 |
| Reference:
|
[7] Nečas J.: Introduction to the theory of nonlinear elliptic equations.Teubner-Text zur Mathematik, Leipzig, 1983. MR 0731261 |
| Reference:
|
[8] Nečas J.: Les méthodes directes en théorie des equations elliptiques.Academia, Prague, 1967. MR 0227584 |
| . |
