Optimal regularity theorems for variational problems with obstacles (Q5903279)

[See also the preview in Zbl 0587.49012\(>]\) From the introduction: ''This paper finishes the analysis of the regularity properties of (local) minima u of the energy integral \(E(u)=\int_{\Omega}| Du|^ 2dx\) or more general functionals of quadratic type defined on the Sobolev space \(H^ 1(\Omega,R^ N)\) of vector-valued functions \(u:R^ n\supset \Omega \to R^ N\), subject to a constraint of the form \(u(\Omega)\subset \bar M\). Here M is a smooth domain in \(R^ N\) with nonempty boundary \(\partial M\).''