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arXiv · 1503.00271

On fractional Laplacians -- 3

Roberta Musina·Alexander I. Nazarov
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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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Roberta Musina, Alexander I. Nazarov. 2015-03-01. On fractional Laplacians -- 3. https://doi.org/10.1016/j.anihpc.2015.08.001

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