Solution to the gradient problem of C. E. Weil

DOI10.4171/RMI/439zbMath1116.26007OpenAlexW1983007904MaRDI QIDQ2493578

Zoltán Buczolich

Publication date: 21 June 2006

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41954

zbMATH Keywords

Lebesgue measureDenjoy-Clarkson property

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Continuity and differentiation questions (26B05) Low-dimensional dynamical systems (37E99)

Related Items (6)

A compact null set containing a differentiability point of every Lipschitz function ⋮ The Denjoy-Clarkson property with respect to Hausdorff measures for the gradient mapping of functions of several variables ⋮ Infinite dimensional Banach spaces of functions with nonlinear properties ⋮ Structure of porous sets in Carnot groups ⋮ Almost classical solutions of Hamilton-Jacobi equations ⋮ Linear subsets of nonlinear sets in topological vector spaces

Cites Work

• Unnamed Item
• Functions of two variables with large tangent plane sets
• Level sets of functions \(f(x,y)\) with non-vanishing gradient
• The \(n\)-dimensional gradient has the 1-dimensional Denjoy-Clarkson property
• Approximate continuity points of derivatives of functions of several variables
• Another note on the gradient problem of C. E. Weil
• A property of derivatives

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