On the Existence of Functions Having Given Partial Derivatives on a Curve

DOI10.2307/1990867zbMath0058.04801OpenAlexW4252029812MaRDI QIDQ5832473

Maurice Sion

Publication date: 1954

Full work available at URL: https://doi.org/10.2307/1990867

zbMATH Keywords

differentiation and integration, measure theory

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Cites Work

• A function not constant on a connected set of critical points
• The behavior of a function on its critical set
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• The measure of the critical values of differentiable maps