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Regularity of solutions of nonlinear variational inequalities with a gradient bound as constraint

โœ Scribed by Claus Gerhardt


Publisher
Springer
Year
1975
Tongue
English
Weight
237 KB
Volume
58
Category
Article
ISSN
0003-9527

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Regularity of solutions for some variati
โœ G. Carlier; T. Lachand-Robert ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 76 KB

## Abstract We first study the minimizers, in the class of convex functions, of an elliptic functional with nonhomogeneous Dirichlet boundary conditions. We prove __C__^1^ regularity of the minimizers under the assumption that the upper envelope of admissible functions is __C__^1^. This condition i