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Article

Fuchs, Martin
Existence via partial regularity for degenerate systems of variational inequalities with natural growth. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 427-435
MSC: 35J85, 49J40, 49N60 | MR 1209285 | Zbl 0774.49008
Keywords:
variational inequalities; existence; regularity theory
Summary:
We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.
References:
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[2] Fuchs M.: $p$-harmonic obstacle problems. Part III: Boundary regularity. Annali Mat. Pura Applicata 156 (1990), 159-180. MR 1080214
[3] Fuchs M.: Smoothness for systems of degenerate variational inequalities with natural growth. Comment. Math. Univ. Carolinae 33 (1992), 33-41. MR 1173743 | Zbl 0773.49005
[4] Gilbarg D., Trudinger N.S.: Elliptic partial differential equations of second order. Springer Verlag, 1977. MR 0473443 | Zbl 1042.35002
[5] Hildebrandt S., Widman K.-O.: Variational inequalities for vector-valued functions. J. Reine Angew. Math. 309 (1979), 181-220. MR 0542048
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