Improved multipolar Poincaré–Hardy inequalities on Cartan–Hadamard manifolds

[1]  E. Berchio,et al.  An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds , 2017, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[2]  E. Berchio,et al.  Improved Lp-Poincaré inequalities on the hyperbolic space , 2016, 1611.08413.

[3]  Alexandru Krist'aly,et al.  Multipolar Hardy inequalities on Riemannian manifolds , 2016, 1609.01080.

[4]  V. H. Nguyen,et al.  Sharp Constant for Poincaré-Type Inequalities in the Hyperbolic Space , 2016, Acta Mathematica Vietnamica.

[5]  E. Berchio,et al.  Improved higher order Poincar\'e inequalities on the hyperbolic space via Hardy-type remainder terms , 2015, 1511.00474.

[6]  E. Berchio,et al.  Sharp Poincar\'e-Hardy and Poincar\'e-Rellich inequalities on the hyperbolic space , 2015, 1507.02550.

[7]  Hironori Kumura,et al.  Geometric relative Hardy inequalities and the discrete spectrum of Schrödinger operators on manifolds , 2013 .

[8]  Adimurthi Best constants and Pohozaev identity for hardy–sobolev-type operators , 2013 .

[9]  Y. Pinchover,et al.  OPTIMAL HARDY WEIGHT FOR SECOND-ORDER ELLIPTIC OPERATOR: AN ANSWER TO A PROBLEM OF AGMON , 2012, 1208.2342.

[10]  I. Kombe,et al.  Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds , 2011, 1103.2747.

[11]  Jean Dolbeault,et al.  Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators , 2008 .

[12]  I. Kombe,et al.  Improved Hardy and Rellich inequalities on Riemannian manifolds , 2007, math/0702047.

[13]  S. Terracini,et al.  On Schrödinger operators with multipolar inverse-square potentials , 2006, math/0602209.

[14]  G. Carron Inégalités de hardy sur les variétés riemanniennes non-compactes , 1997 .