We prove a family of improved multipolar Poincaré–Hardy inequalities on Cartan–Hadamard manifolds. For suitable configurations of poles, these inequalities yield an improved multipolar Hardy inequality and an improved multipolar Poincaré inequality such that the critical unipolar singular mass is reached at any pole.

Improved multipolar Poincaré–Hardy inequalities on Cartan–Hadamard manifolds

Grillo G.
2020

Abstract

We prove a family of improved multipolar Poincaré–Hardy inequalities on Cartan–Hadamard manifolds. For suitable configurations of poles, these inequalities yield an improved multipolar Hardy inequality and an improved multipolar Poincaré inequality such that the critical unipolar singular mass is reached at any pole.
ANNALI DI MATEMATICA PURA ED APPLICATA
Hyperbolic space
Multipolar Hardy inequality
Poincaré inequality
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1157519
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