| Title:
|
On $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear elliptic systems (English) |
| Author:
|
Daněček, Josef |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
523-536 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Interior $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear second order elliptic systems is investigated. (English) |
| Keyword:
|
nonlinear elliptic system |
| Keyword:
|
regularity |
| Keyword:
|
Campanato-Morrey spaces |
| MSC:
|
35B65 |
| MSC:
|
35D10 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0881.35035 |
| idMR:
|
MR1426918 |
| . |
| Date available:
|
2009-01-08T18:25:56Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118860 |
| . |
| Reference:
|
[1] Campanato S.: Sistemi ellittici in forma divergenza. Regolarita all'interno.Quaderni Pisa (1980). Zbl 0453.35026, MR 0668196 |
| Reference:
|
[2] Campanato S.: Hölder continuity of the solutions of some non-linear elliptic systems.Adv. Math. 48 (1983), 16-43. MR 0697613 |
| Reference:
|
[3] Giaquinta M.: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems.Annals of Mathematics Studies N.105 Princeton University Press Princeton (1983). Zbl 0516.49003, MR 0717034 |
| Reference:
|
[4] Grevholm B.: On the structure of the spaces $\Cal L_k^{p,\lambda }$.Math. Scand. 26 (1970), 189-196. MR 0275146 |
| Reference:
|
[5] Kokilashvili V., Krbec M.: Weighted Norm Inequalities in Lorentz and Orlicz Spaces.World Scientific London (1991). MR 1156767 |
| Reference:
|
[6] Kufner A., John O., Fučík S.: Function Spaces.Academia Prague (1977). MR 0482102 |
| Reference:
|
[7] Morrey C.B., Jr.: Multiple Integrals in the Calculus of Variations.Springer-Verlag Heidelberg (1966). Zbl 0142.38701, MR 0202511 |
| Reference:
|
[8] Nečas J.: Introduction to the Theory of Nonlinear Elliptic Equations.Teubner-Texte zur Mathematik Band 52 Leipzig (1983). MR 0731261 |
| Reference:
|
[9] Ziemer W.P.: Weakly Differentiable Functions.Springer-Verlag Heidelberg (1989). Zbl 0692.46022, MR 1014685 |
| . |
