On a generalization of the Nagumo-Brezis theorem (Q6585998)
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scientific article; zbMATH DE number 7895279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a generalization of the Nagumo-Brezis theorem |
scientific article; zbMATH DE number 7895279 |
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On a generalization of the Nagumo-Brezis theorem (English)
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12 August 2024
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In the paper under review, the authors extend the Nagumo-Brezis theorem about the set invariance with respect to the flow generated by a vector field, to \(MC^k\)-Fréchet manifolds. On \(MC^k\)-Fréchet nuclear manifolds, they give a criterion for closed subsets to be invariant under the flow of a \(MC^k\)-vector field. Then, they use their results to find the critical points of real-valued mappings.
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Nagumo-Brezis theorem
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flow-invariant sets
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\(MC^k\)-Fréchet manifolds
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