On Optimal Hardy Inequalities in Cones

Baptiste Devyver, Yehuda Pinchover, Georgios Psaradakis

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.

Keywords


Ground state; Hardy inequality; minimal growth; positive solutions

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References


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DOI: 10.6092/issn.2240-2829/4741

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Copyright (c) 2014 Baptiste Devyver, Yehuda Pinchover, Georgios Psaradakis

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