JournalsrlmVol. 18 , No. 2DOI 10.4171/rlm/488

The Grötzsch problem in higher dimensions

  • Tomasz Adamowicz

    Syracuse University, United States
The Grötzsch problem in higher dimensions cover

Abstract

An extension of the Grötzsch Problem to higher dimensions is considered. The problem is formulated and proven for a subclass of polyconvex energy integrals and counterexamples in general case are given. A conjecture about the generalized distortion functions is stated.