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math.AP2011
Improved Poincaré inequalities
Jean Dolbeault, Bruno Volzone
Although the Hardy inequality corresponding to one quadratic singularity, with optimal constant, does not admit any extremal function, it is well known that such a potential can be…
math.AP2011
Comparison and regularity results for the fractional Laplacian via symmetrization methods
Giuseppina Di Blasio, Bruno Volzone
In this paper we establish a comparison result through symmetrization for solutions to some boundary value problems involving the fractional Laplacian. This allows to get sharp est…