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Título:
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Nonsmooth Morse–Sard theorems
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Autores:
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Azagra Rueda, Daniel ;
Ferrera Cuesta, Juan ;
Gómez Gil, Javier
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 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 = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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We prove that every function f:Rn?R satisfies that the image of the set of critical points at which the function f has Taylor expansions of order n?1 and non-empty subdifferentials of order n is a Lebesgue-null set. As a by-product of our proof, for the proximal subdifferential ?P, we see that for every lower semicontinuous function f:R2?R the set f({x?R2:0??Pf(x)}) is L1-null.
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En línea:
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https://eprints.ucm.es/43784/1/Azagra36.pdf
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