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.
2020-01-01
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.File in questo prodotto:
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