Scalar minimizers with maximal singular sets and lack of Meyers property
Anna Kh. Balci, Lars Diening, Mikhail Dmitriyevich Surnachev · arXiv (Cornell University) · 2023
We present a general procedure to construct examples of convex scalar variational problems which admit a 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).