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On fractional Laplacians -- 3 (1503.00271v1)
Published 1 Mar 2015 in math.AP
Abstract: We investigate the role of the noncompact group of dilations in $\mathbb Rn$ 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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