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

  • Yehuda Pinchover
  • Kyril Tintarev
Part of the International Mathematical Series book series (IMAT, volume 8)


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.


Sobolev Inequality Potential Term Hardy Inequality Null Sequence Positive Continuous Function 
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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Yehuda Pinchover
    • 1
  • Kyril Tintarev
    • 2
  1. 1.Technion — Israel Institute of TechnologyHaifaIsrael
  2. 2.Uppsala UniversityUppsalaSweden

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