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.
@article{4741, title = {On Optimal Hardy Inequalities in Cones}, journal = {Bruno Pini Mathematical Analysis Seminar}, year = {2014}, doi = {10.6092/issn.2240-2829/4741}, language = {EN}, url = {http://dml.mathdoc.fr/item/4741} }
Devyver, Baptiste; Pinchover, Yehuda; Psaradakis, Georgios. On Optimal Hardy Inequalities in Cones. Bruno Pini Mathematical Analysis Seminar, (2014), . doi : 10.6092/issn.2240-2829/4741. http://gdmltest.u-ga.fr/item/4741/