Geodesic
Smoothness for systems of degenerate variational inequalities with natural growth
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 33-41

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR   Zbl

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.
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.
Classification : 35J85, 49J40
Keywords: variational inequalities; regularity theory 
Fuchs, Martin. Smoothness for systems of degenerate variational inequalities with natural growth. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 33-41. http://geodesic.mathdoc.fr/item/CMUC_1992_33_1_a3/
@article{CMUC_1992_33_1_a3,
     author = {Fuchs, Martin},
     title = {Smoothness for systems of degenerate variational inequalities with natural growth},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {33--41},
     year = {1992},
     volume = {33},
     number = {1},
     mrnumber = {1173743},
     zbl = {0773.49005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1992_33_1_a3/}
}
TY  - JOUR
AU  - Fuchs, Martin
TI  - Smoothness for systems of degenerate variational inequalities with natural growth
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1992
SP  - 33
EP  - 41
VL  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_1992_33_1_a3/
LA  - en
ID  - CMUC_1992_33_1_a3
ER  - 
%0 Journal Article
%A Fuchs, Martin
%T Smoothness for systems of degenerate variational inequalities with natural growth
%J Commentationes Mathematicae Universitatis Carolinae
%D 1992
%P 33-41
%V 33
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_1992_33_1_a3/
%G en
%F CMUC_1992_33_1_a3

[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

[2] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Ann. of Math. Studies 105, Princeton U.P. 1983. | MR | Zbl

[3] Hildebrandt S., Widman K.-O.: Variational inequalities for vectorvalued functions. J. Reine Angew. Math. 309 (1979), 181-220. | MR | Zbl

[4] Price P.: A monotonicity formula for Yang-Mills fields. Manus. Math. 43 (1983), 131-166. | MR | Zbl

[5] Uhlenbeck K.: Regularity for a class of nonlinear elliptic systems. Acta Math. 138 (1977), 219-240. | MR | Zbl