On the existence of weak solutions for degenerate systems of variational inequalities with critical growth

Martin Fuchs

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 3, page 445-449
  • ISSN: 0010-2628

Abstract

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We prove the existence of solutions to systems of degenerate variational inequalities.

How to cite

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Fuchs, Martin. "On the existence of weak solutions for degenerate systems of variational inequalities with critical growth." Commentationes Mathematicae Universitatis Carolinae 35.3 (1994): 445-449. <http://eudml.org/doc/247566>.

@article{Fuchs1994,
abstract = {We prove the existence of solutions to systems of degenerate variational inequalities.},
author = {Fuchs, Martin},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {variational inequalities; existence; free boundary problems; existence of solution; quasi-variational inequality of elliptic type},
language = {eng},
number = {3},
pages = {445-449},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of weak solutions for degenerate systems of variational inequalities with critical growth},
url = {http://eudml.org/doc/247566},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Fuchs, Martin
TI - On the existence of weak solutions for degenerate systems of variational inequalities with critical growth
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 3
SP - 445
EP - 449
AB - We prove the existence of solutions to systems of degenerate variational inequalities.
LA - eng
KW - variational inequalities; existence; free boundary problems; existence of solution; quasi-variational inequality of elliptic type
UR - http://eudml.org/doc/247566
ER -

References

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  1. Fuchs M, Existence via partial regularity for degenerate systems of variational inequalities with natural growth, Comment. Math. Univ. Carolinae 33 (1992), 427-435. (1992) MR1209285
  2. Fuchs M, The blow up of p -harmonic maps, Manus. Math. 81 (1993), 89-94. (1993) MR1247590
  3. Fuchs M, p -harmonic obstacle problems, Annali di Mat. Pura Appl. 156 (1990), 127-180. (1990) MR1080213
  4. Fuchs M, Smoothness for systems of degenerate variational inequalities with natural growth, Comment. Math. Univ. Carolinae 33 (1992), 33-41. (1992) Zbl0773.49005MR1173743
  5. Hildebrandt S., Widman K.-O., Variational inequalities for vector-valued functions, J. Reine Angew. Math. 309 (1979), 181-220. (1979) MR0542048
  6. Landes R., On the existence of weak solutions of perturbed systems with critical growth, J. Reine Angew. Math. 393 (1989), 21-38. (1989) MR0972359

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