Existence via partial regularity for degenerate systems of variational inequalities with natural growth

Martin Fuchs

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 3, page 427-435
  • ISSN: 0010-2628

Abstract

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We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.

How to cite

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Fuchs, Martin. "Existence via partial regularity for degenerate systems of variational inequalities with natural growth." Commentationes Mathematicae Universitatis Carolinae 33.3 (1992): 427-435. <http://eudml.org/doc/247363>.

@article{Fuchs1992,
abstract = {We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.},
author = {Fuchs, Martin},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {variational inequalities; existence; regularity theory; variational inequalities; natural growth; existence of a solution; nonlinear elliptic Dirichlet problem},
language = {eng},
number = {3},
pages = {427-435},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Existence via partial regularity for degenerate systems of variational inequalities with natural growth},
url = {http://eudml.org/doc/247363},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Fuchs, Martin
TI - Existence via partial regularity for degenerate systems of 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 - 3
SP - 427
EP - 435
AB - We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.
LA - eng
KW - variational inequalities; existence; regularity theory; variational inequalities; natural growth; existence of a solution; nonlinear elliptic Dirichlet problem
UR - http://eudml.org/doc/247363
ER -

References

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  1. Fuchs M., p -harmonic obstacle problems. Part I: Partial regularity theory, Annali Mat. Pura Applicata 156 (1990), 127-158. (1990) MR1080213
  2. Fuchs M., p -harmonic obstacle problems. Part III: Boundary regularity, Annali Mat. Pura Applicata 156 (1990), 159-180. (1990) MR1080214
  3. Fuchs M., Smoothness for systems of degenerate variational inequalities with natural growth, Comment. Math. Univ. Carolinae 33 (1992), 33-41. (1992) Zbl0773.49005MR1173743
  4. Gilbarg D., Trudinger N.S., Elliptic partial differential equations of second order, Springer Verlag, 1977. Zbl1042.35002MR0473443
  5. Hildebrandt S., Widman K.-O., Variational inequalities for vector-valued functions, J. Reine Angew. Math. 309 (1979), 181-220. (1979) MR0542048

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