| Title:
|
Smoothness for systems of degenerate variational inequalities with natural growth (English) |
| Author:
|
Fuchs, Martin |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
1 |
| Year:
|
1992 |
| Pages:
|
33-41 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We extend a regularity theorem of Hildebrandt and Widman [3] to certain degenerate systems of variational inequalities and prove Hölder-continuity of solutions which are in some sense stationary. (English) |
| Keyword:
|
variational inequalities |
| Keyword:
|
regularity theory |
| MSC:
|
35J85 |
| MSC:
|
49J40 |
| idZBL:
|
Zbl 0773.49005 |
| idMR:
|
MR1173743 |
| . |
| Date available:
|
2009-01-08T17:53:10Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118467 |
| . |
| Reference:
|
[1] Fuchs M., Fusco N.: Partial regularity results for vector valued functions which minimize certain functionals having nonquadratic growth under smooth side conditions.J. Reine Angew. Math. 399 (1988), 67-78. MR 0953677 |
| Reference:
|
[2] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems.Ann. of Math. Studies 105, Princeton U.P. 1983. Zbl 0516.49003, MR 0717034 |
| Reference:
|
[3] Hildebrandt S., Widman K.-O.: Variational inequalities for vectorvalued functions.J. Reine Angew. Math. 309 (1979), 181-220. Zbl 0408.49012, MR 0542048 |
| Reference:
|
[4] Price P.: A monotonicity formula for Yang-Mills fields.Manus. Math. 43 (1983), 131-166. Zbl 0521.58024, MR 0707042 |
| Reference:
|
[5] Uhlenbeck K.: Regularity for a class of nonlinear elliptic systems.Acta Math. 138 (1977), 219-240. Zbl 0372.35030, MR 0474389 |
| . |
