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Sobolev Spaces In Mathematics I pp 281–297Cite as

On the Hardy–Sobolev–Maz'ya Inequality and Its Generalizations

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Part of the book series: International Mathematical Series ((IMAT,volume 8))

Abstract

Abstract The paper deals with natural generalizations of the Hardy— Sobolev—Maz'ya inequality and some related questions, such as the optimality and stability of such inequalities, the existence of minimizers of the associated variational problem, and the natural energy space associated with the given functional.

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Author information

Authors and Affiliations

  1. Technion — Israel Institute of Technology, Haifa, 32000, Israel

    Yehuda Pinchover

  2. Uppsala University, P.O. Box 480, Uppsala, SE-751 06, Sweden

    Kyril Tintarev

Authors
  1. Yehuda Pinchover
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  2. Kyril Tintarev
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Ohio State University, Columbus, USA

    Vladimir Maz’ya

  2. Department of Mathematical Sciences, University of Liverpool, Liverpool, UK

    Vladimir Maz’ya

  3. Department of Mathematics, Linköping University, Linköping, Sweden

    Vladimir Maz’ya

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Pinchover, Y., Tintarev, K. (2009). On the Hardy–Sobolev–Maz'ya Inequality and Its Generalizations. In: Maz’ya, V. (eds) Sobolev Spaces In Mathematics I. International Mathematical Series, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-0-387-85648-3_10

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