Solution to the gradient problem of C. E. Weil

  • Zoltán Buczolich

    Eötvös Loránd University, Budapest, Hungary

Abstract

In this paper we give a complete answer to the famous gradient problem of C. E. Weil. On an open set we construct a differentiable function for which there exists an open set such that for a but for almost every . This shows that the Denjoy-Clarkson property does not hold in higher dimensions.

Cite this article

Zoltán Buczolich, Solution to the gradient problem of C. E. Weil. Rev. Mat. Iberoam. 21 (2005), no. 3, pp. 889–910

DOI 10.4171/RMI/439