On fractional Laplacians -- 3

Published 1 Mar 2015 in math.AP | (1503.00271v1)

Abstract: We investigate the role of the noncompact group of dilations in $\mathbb R^n$ on the difference of the quadratic forms associated to the fractional Dirichlet and Navier Laplacians. Then we apply our results to study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving the Navier-Laplacian.

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