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Título:
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Elliptic problems on the space of weighted with the distance to the boundary integrable functions revisited
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Rakotoson, Jean-Michel
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Tipo de documento:
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texto impreso
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Editorial:
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Department of Mathematics Texas State University, 2014
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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/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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We revisit the regularity of very weak solution to second-order elliptic equations Lu = f in ? with u = 0 on ?? for f ? L1 (?, ?), ?(x) the distance to the boundary ??. While doing this, we extend our previous results(and many others in the literature)by allowing the presence of distributions f+g which are more general than Radon measures (more precisely with g in the dual of suitable Lorentz-Sobolev spaces) and by making weaker assumptions on the coefficients of L. One of the new tools is a Hardy type inequality developed recently by the second author. Applications to the study of the gradient of solutions of some singular semilinear equations are also given.
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En línea:
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https://eprints.ucm.es/id/eprint/29595/1/153.pdf
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