On Optimal Hardy Inequalities in Cones

Authors

  • Baptiste Devyver University of British Columbia, Vancouver
  • Yehuda Pinchover Department of Mathematics, Technion - Israel Institute of Technology, Haifa
  • Georgios Psaradakis Department of Mathematics, Technion - Israel Institute of Technology, Haifa

DOI:

https://doi.org/10.6092/issn.2240-2829/4741

Keywords:

Ground state, Hardy inequality, minimal growth, positive solutions

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.

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Published

2014-12-30

How to Cite

Devyver, B., Pinchover, Y., & Psaradakis, G. (2014). On Optimal Hardy Inequalities in Cones. Bruno Pini Mathematical Analysis Seminar, 5(1), 67–82. https://doi.org/10.6092/issn.2240-2829/4741

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