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math.FA2016
Some isoperimetric inequalities on with respect to weights
A. Alvino, F. Brock, F. Chiacchio +2
We solve a class of isoperimetric problems on with respect to weights that are powers of the distance to the origin. For instance we show that if , then…
math.AP2016
Symmetry and asymmetry of minimizers of a class of noncoercive functionals
F Brock, G Croce, O Guibé +1
In this paper we prove symmetry results for minimizers of a non coercive functional defined on the class of Sobolev functions with zero mean value. We prove that the minimizers are…