4.6 Article

Weighted Hardy inequality with higher dimensional singularity on the boundary

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Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00526-013-0655-z

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Funding

  1. Alexander-von-Humboldt Foundation
  2. Fondecyt [1100164]
  3. Fondo Basal CMM

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Let be a smooth bounded domain in with and let be a closed smooth submanifold of of dimension . In this paper we study the weighted Hardy inequality with weight function singular on . In particular we provide necessary and sufficient conditions for existence of minimizers.

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