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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…
math.AP2011
Isoperimetric estimates for the first Neumann eigenvalue of Hermite differential equations
Francesco Chiacchio, Giuseppina di Blasio
We provide isoperimetric Szegö-Weinberger type inequalities for the first nontrivial Neumann eigenvalue in Gauss space, where is a possibly unbounded domain of $\mat…