# Smoothness for systems of degenerate variational inequalities with natural growth

Commentationes Mathematicae Universitatis Carolinae (1992)

- Volume: 33, Issue: 1, page 33-41
- ISSN: 0010-2628

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topFuchs, Martin. "Smoothness for systems of degenerate variational inequalities with natural growth." Commentationes Mathematicae Universitatis Carolinae 33.1 (1992): 33-41. <http://eudml.org/doc/247425>.

@article{Fuchs1992,

abstract = {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.},

author = {Fuchs, Martin},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {variational inequalities; regularity theory; regularity theory; degenerate systems of variational inequalities; Hölder continuity of solutions},

language = {eng},

number = {1},

pages = {33-41},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Smoothness for systems of degenerate variational inequalities with natural growth},

url = {http://eudml.org/doc/247425},

volume = {33},

year = {1992},

}

TY - JOUR

AU - Fuchs, Martin

TI - Smoothness for systems of degenerate variational inequalities with natural growth

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1992

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 33

IS - 1

SP - 33

EP - 41

AB - 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.

LA - eng

KW - variational inequalities; regularity theory; regularity theory; degenerate systems of variational inequalities; Hölder continuity of solutions

UR - http://eudml.org/doc/247425

ER -

## References

top- 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. (1988) MR0953677
- Giaquinta M., Multiple integrals in the calculus of variations and nonlinear elliptic systems, Ann. of Math. Studies 105, Princeton U.P. 1983. Zbl0516.49003MR0717034
- Hildebrandt S., Widman K.-O., Variational inequalities for vectorvalued functions, J. Reine Angew. Math. 309 (1979), 181-220. (1979) Zbl0408.49012MR0542048
- Price P., A monotonicity formula for Yang-Mills fields, Manus. Math. 43 (1983), 131-166. (1983) Zbl0521.58024MR0707042
- Uhlenbeck K., Regularity for a class of nonlinear elliptic systems, Acta Math. 138 (1977), 219-240. (1977) Zbl0372.35030MR0474389

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