An Approach to the Thin Obstacle Problem foŕ Variational Functionals Depending on Vector Valued Functions
- 1 January 1989
- journal article
- research article
- Published by Informa UK Limited in Communications in Partial Differential Equations
- Vol. 14 (12), 1717-1743
- https://doi.org/10.1080/03605308908820673
Abstract
In this paper we discuss a class of variational problems for integral functionals depending on vector valued functions u, subject to an obstacle condition on the imageKeywords
This publication has 7 references indexed in Scilit:
- Every superposition operator mapping one Sobolev space into another is continuousJournal of Functional Analysis, 1979
- Non-parametric minimal surfaces with discontinuous and thin obstaclesArchive for Rational Mechanics and Analysis, 1972
- Superfici minime cartesiane con ostacoli discontinuiArchive for Rational Mechanics and Analysis, 1971
- On the smoothness of superharmonics which solve a minimum problemJournal d'Analyse Mathématique, 1970
- Variational problems with inequalities as boundary conditions or How to fashion a cheap hat for giacometti's brotherArchive for Rational Mechanics and Analysis, 1969
- On the regularity of the solution of a variational inequalityCommunications on Pure and Applied Mathematics, 1969
- Multiple Integrals in the Calculus of VariationsGrundlehren der mathematischen Wissenschaften, 1966