| Title:
|
On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property (English) |
| Author:
|
Giaquinta, Mariano |
| Author:
|
Nečas, Jindřich |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
20 |
| Issue:
|
1 |
| Year:
|
1979 |
| Pages:
|
111-121 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B65 |
| MSC:
|
35D05 |
| MSC:
|
35D10 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0396.35047 |
| idMR:
|
MR526152 |
| . |
| Date available:
|
2008-06-05T21:00:35Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105907 |
| . |
| Reference:
|
[1] O. A. LADYŽENSKAJA N. N. URAL'CEVA: Linejnye i kvazilinejnye uravnenija elliptičeskogo tipa.Moscow (1973), 2-nd edition. |
| Reference:
|
[2] Ch. B. MORREY: Differentiability theorems for weak solutions of nonlinear elliptic differential equations.BAMS, Vol. 75 (1969), 684-705. Zbl 0181.38001, MR 0246182 |
| Reference:
|
[3] E. De GIORGI: Sulla differenziabilità e analiticità delle estremali degli integrali multipli regolari.Mem. Acad. Sci. Torino Cl. Sci. Fis. Mat. Nat. (3), 3 (1957), 25-43. MR 0093649 |
| Reference:
|
[4] J. NEČAS: Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity.Theory of Nonlinear Operators, Abhandlungen der Akademie der Wissenschaften der DDR, Jahrg. 1977, Nr. 1N, 197-206. MR 0509483 |
| Reference:
|
[5] M. GIAQUINTA: Sistemi ellittici non lineari, Convegne su: Sistemi ellittici non lineari ed applicazieni.Università di Ferrara, Editrice Universitaria, 1978. |
| Reference:
|
[6] J. NEČAS: On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems.Proceedings of Equadiff IV, Prague 1977, to appear in Springs 1979. MR 0535349 |
| Reference:
|
[7] Gh. B. MORREY: Partial regularity results for nonlinear elliptic systems.Journ. Math. and Mech. 17 (1968). |
| Reference:
|
[8] E. GIUSTI M. MIRANDA: Sulla regelarità delle soluzioni deboli di una classe di sistemi ellittici quasi lineari.Arch. Rat. Mech. and Anal. 31 (1968). MR 0235264 |
| Reference:
|
[9] E. GIUSTI: Regolarità parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario.Ann. Scuola Norm. Sup. Pisa 23 (1969). MR 0247258 |
| Reference:
|
[10] S. CAMPANATO: Equazioni ellitiche del II ordine e spazi $L^{2,\lambda }$.Ann. Mat. Pura e Appl. 69 (1965). MR 0192168 |
| . |
