Smoothness for systems of degenerate variational inequalities with natural growth

Martin Fuchs

Commentationes Mathematicae Universitatis Carolinae (1992)

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

Abstract

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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.

How to cite

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Fuchs, 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

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

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