Geodesic
Smoothness for systems of degenerate variational inequalities with natural growth
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 33-41 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 35J85, 49J40
Keywords: variational inequalities; regularity theory 
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Fuchs, Martin. Smoothness for systems of degenerate variational inequalities with natural growth. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 33-41. http://geodesic.mathdoc.fr/item/CMUC_1992_33_1_a3/

[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. | MR

[2] Giaquinta M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Ann. of Math. Studies 105, Princeton U.P. 1983. | MR | Zbl

[3] Hildebrandt S., Widman K.-O.: Variational inequalities for vectorvalued functions. J. Reine Angew. Math. 309 (1979), 181-220. | MR | Zbl

[4] Price P.: A monotonicity formula for Yang-Mills fields. Manus. Math. 43 (1983), 131-166. | MR | Zbl

[5] Uhlenbeck K.: Regularity for a class of nonlinear elliptic systems. Acta Math. 138 (1977), 219-240. | MR | Zbl