Scalar minimizers with maximal singular sets and lack of Meyers property

Anna Balci; Lars Diening; Mikhail Surnachev

doi:10.4171/nnu90

BooksStandalone TitlesCollected Volumepp. 1–43

Scalar minimizers with maximal singular sets and lack of Meyers property

Anna Balci
Charles University, Prague, Czech Republic; Bielefeld University, Germany
- MathSciNet
- ORCID
Lars Diening
Bielefeld University, Germany
Mikhail Surnachev
Keldysh Institute of Applied Mathematics, Moscow, Russia
- MathSciNet
- ORCID

Download Chapter PDF

A subscription is required to access this book chapter.

Abstract

We present a general procedure to construct examples of convex scalar variational problems which admit minimizers with large singular sets. The dimension of the set of singularities is maximal and the minimizer has no higher integrability property (failure of Meyers property).