WIAS Preprint No. 1957, (2014)

Hardy's inequality for functions vanishing on a part of the boundary


  • Egert, Moritz
  • Haller-Dintelmann, Robert
  • Rehberg, Joachim

2010 Mathematics Subject Classification

  • 26D10 26D15 42B20 42B37


  • Hardy's inequality, uniform fatness, Poincaré's inequality, Sobolev extension operator


We develop a geometric framework for Hardy's inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.

Appeared in

  • Potential Anal., 43 (2015) pp. 49--78.

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