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On Optimal Hardy Inequalities in Cones

Baptiste Devyver, Yehuda Pinchover, Georgios Psaradakis

Bruno Pini Mathematical Analysis Seminar · 2014

doi:10.6092/issn.2240-2829/4741 (opens in a new tab)

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Abstract

For a given subcritical Schrödinger operator in a cone in ℝn with a given Hardy potential corresponding to the distance to the boundary of the cone, we present an explicit optimal Hardy-type improvement. In particular, we present an explicit expression for the associate best Hardy constant, and for the corresponding ground state.

Abstract licence: CC BY

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