| Title:
|
An integral estimate for weak solutions to some quasilinear elliptic systems (English) |
| Author:
|
Leonetti, Francesco |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
39-43 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove an integral estimate for weak solutions to some quasilinear elliptic systems; such an estimate provides us with the following regularity result: weak solutions are bounded. (English) |
| Keyword:
|
quasilinear elliptic systems |
| Keyword:
|
weak solutions |
| Keyword:
|
integral estimates |
| Keyword:
|
regularity |
| MSC:
|
35B35 |
| MSC:
|
35B45 |
| MSC:
|
35D10 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0751.35009 |
| idMR:
|
MR1118288 |
| . |
| Date available:
|
2008-10-09T13:10:56Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116941 |
| . |
| Reference:
|
[C1] Campanato S.: Elliptic systems with nonlinearity $q$ greater or equal to two. Regularity of the solution of the Dirichlet problem.Ann. Mat. Pura Appl. 147 (1987), 117-150. Zbl 0635.35038, MR 0916705 |
| Reference:
|
[C2] Campanato S.: Fundamental interior estimates for a class of second order elliptic operators.in: Partial Differential Equations and Calculus of Variations, Essays in honor of Ennio De Giorgi, Birkhäuser, Boston, 1989. Zbl 0685.35026, MR 1034007 |
| Reference:
|
[FH] Fusco N., Hutchinson J.: Partial regularity for minimizers of certain functionals having non quadratic growth.Ann. Mat. Pura Appl. 155 (1989), 1-24. MR 1042826 |
| Reference:
|
[G] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems.Princeton University Press, Princeton, 1983. Zbl 0516.49003, MR 0717034 |
| Reference:
|
[L] Leonetti F.: On the regularity of $w$-minima.to appear in Boll. Un. Mat. Ital. |
| Reference:
|
[M] Morrey C.B., Jr.: Multiple Integrals in the Calculus of Variations.Springer Verlag, New York, 1966. MR 0202511 |
| . |
