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math.AP2008
Some sharp Hardy inequalities on spherically symmetric domains
Francesco Chiacchio, Tonia Ricciardi
We prove some sharp Hardy inequalities for domains with a spherical symmetry. In particular, we prove an inequality for domains of the unit -dimensional sphere with a point sing…
math.AP2003
Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model
Francesco Chiacchio, Tonia Ricciardi
We prove the existence of at least two doubly periodic vortex solutions for a self-dual CP(1) Maxwell-Chern-Simons model. To this end we analyze a system of two elliptic equations…