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Sobolev Inequalities in Familiar and Unfamiliar Settings

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Sobolev Spaces In Mathematics I

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

Abstract

The classical Sobolev inequalities play a key role in analysis in Euclidean spaces and in the study of solutions of partial differential equations. In fact, they are extremely flexible tools and are useful in many different settings. This paper gives a glimpse of assortments of such applications in a variety of contexts.

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  1. Cornell University, Mallot Hall, Ithaca, NY, 14853, USA

    Laurent Saloff-Coste

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  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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Saloff-Coste, L. (2009). Sobolev Inequalities in Familiar and Unfamiliar Settings. 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_11

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