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Inequalities for Gradients of Functions that Vanish on the Boundary

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Sobolev Spaces

Part of the book series: Springer Series in Soviet Mathematics ((SSSOV))

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Abstract

The present chapter deals with necessary and sufficient conditions for the validity of certain estimates for the norm \({\left\| u \right\|_{{L_q}(\Omega ,\mu )}}\) , where uD(Ω) and μ is a measure in Ω.

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© 1985 Springer-Verlag Berlin Heidelberg

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Maz’ja, V.G. (1985). Inequalities for Gradients of Functions that Vanish on the Boundary. In: Sobolev Spaces. Springer Series in Soviet Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09922-3_3

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  • DOI: https://doi.org/10.1007/978-3-662-09922-3_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-09924-7

  • Online ISBN: 978-3-662-09922-3

  • eBook Packages: Springer Book Archive

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