A necessary and sufficient condition for \(C^1\)-regularity of solutions of one-dimensional variational obstacle problems (Q2177981)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary and sufficient condition for \(C^1\)-regularity of solutions of one-dimensional variational obstacle problems |
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A necessary and sufficient condition for \(C^1\)-regularity of solutions of one-dimensional variational obstacle problems (English)
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7 May 2020
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A necessary and sufficient condition for \(C^1\)-regularity of solutions of one-dimensional variational obstacle problems is formulated and proved. More precisely, it is established that the solutions associated with one-dimensional variational obstacle problems are \(C^1\) for all boundary data if and only if the value function is Lipschitz continuous at all boundary data.
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one-dimensional variational obstacle problems
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\(C^1\)-regularity
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value function
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conditional equa-continuity
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