| Title:
|
A note on regularity for nonlinear elliptic systems (English) |
| Author:
|
Daněček, Josef |
| Author:
|
Viszus, Eugen |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
229-237 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The $L^{2,\lambda }$ - regularity of the gradient of weak solutions to nonlinear elliptic systems is proved. (English) |
| Keyword:
|
nonlinear equations |
| Keyword:
|
regularity |
| Keyword:
|
Morrey spaces |
| MSC:
|
35B65 |
| MSC:
|
35J45 |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| idZBL:
|
Zbl 1150.35390 |
| idMR:
|
MR1785041 |
| . |
| Date available:
|
2008-06-06T22:26:02Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107736 |
| . |
| Reference:
|
[Ac] Acquistapace, P.: On BMO regularity for linear elliptic systems.Ann. Mat. pura ed appl. 161 (1992), 231–269. Zbl 0802.35015, MR 1174819 |
| Reference:
|
[Ca] Campanato, S.: Sistemi ellittici in forma divergenza. Regolarita all’interno.Quaderni, Pisa, 1980. Zbl 0453.35026, MR 0668196 |
| Reference:
|
[Da] Daněček, J.: Regularity for nonlinear elliptic systems.Comment. Math. Univ. Carolinae 27,4 (1986), 755–764. MR 0874670 |
| Reference:
|
[DV] Daněček, J., Viszus, E.: $L^{2,\lambda }$ - regularity for nonlinear elliptic systems of second order.In Applied Nonlinear Analysis, (A. Sequeira, H.B. da Veiga, J.H.Videman, eds.), Kluwer Academic/Plenum Publishers, New York, 1999, pp. 33–40. MR 1727438 |
| Reference:
|
[Gia] Giaquinta, M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems.Annals of Mathematics Studied N.105, Princenton university press, Princeton, 1983. Zbl 0516.49003, MR 0717034 |
| Reference:
|
[KN] Kadlec, J., Nečas, J.: Sulla regularita delle soluzioni di equazioni ellitiche negli spazi $ H^{k,\lambda } $.Ann. Sc. Norm. Sup. Pisa 21 (1967), 527–545. MR 0223723 |
| Reference:
|
[KJF] Kufner, A., John, O., Fučík, S.: Function spaces.Academia, Prague, 1977. MR 0482102 |
| Reference:
|
[Ne] Nečas, J.: Introduction to the theory of nonlinear elliptic equations.Teubner-Texte zur Mathematik, Leipzig, 1983. MR 0731261 |
| Reference:
|
[Sp] Spanne, S.: Some function spaces defined using the mean oscillation over cubes.Ann. Sc. Norm. Sup. Pisa 19 (1965), 593–608. Zbl 0199.44303, MR 0190729 |
| . |
