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Título:
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Non-Lipschitz differentiable functions on slit domains
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Autores:
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Bernal-González, L. ;
Jimenez Rodriguez, G. A. ;
Muñoz-Fernández, Gustavo A. ;
Seoane-Sepúlveda, Juan B.
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2017
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = En prensa
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Materia = Ciencias: Matemáticas: Funciones (Matemáticas)
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Tipo = Artículo
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Resumen:
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It is proved the existence of large algebraic structures—including large vector subspaces or infinitely generated free algebras—inside the family of non-Lipschitz differentiable real functions with bounded gradient defined on special non-convex plane domains. In particular, this yields that there are many differentiable functions on plane domains that do not satisfy the mean value theorem.
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En línea:
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https://eprints.ucm.es/41501/1/Mu%C3%B1ozFernandez105.pdf
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