Work

On Optimal Hardy Inequalities in Cones

Year: 2015

Type: article

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.

Source: Bruno Pini mathematical analysis Seminar

DOI: 10.6092/issn.2240-2829/4741

Authors: Devyver, Baptiste, Pinchover, Yehuda, Psaradakis, Georgios

Institutions: University of British Columbia, Technion – Israel Institute of Technology

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Israel Academy of Sciences and Humanities, Università di Bologna, Natural Sciences and Engineering Research Council of Canada

Award: G474410374