The set of critical values of a potential Fredholm functional (Q1272041)
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scientific article; zbMATH DE number 1226031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The set of critical values of a potential Fredholm functional |
scientific article; zbMATH DE number 1226031 |
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The set of critical values of a potential Fredholm functional (English)
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9 March 1999
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The author proves the following analog for the class of \({\mathcal C}^\infty\) functionals defined on nonreflexive Banach spaces of the well-known Kupka-Sard theorem: Let \(V\) be a \({\mathcal C}^\infty\) potential Fredholm functional defined on a separable real Banach space \(E\). Then the set of critical values of \(V\) has Lebesgue measure zero.
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potential Fredholm functional
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set of critical values
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0.7525171041488647
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0.7468269467353821
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