We investigate the role of the noncompact group of dilations in 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. © EDP Sciences, SMAI 2016.

On fractional Laplacians - 3 / Musina, Roberta; Nazarov, A. I.. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - 22:3(2016), pp. 832-841. [10.1051/cocv/2015032]

On fractional Laplacians - 3

Musina, Roberta;
2016-01-01

Abstract

We investigate the role of the noncompact group of dilations in 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. © EDP Sciences, SMAI 2016.
2016
22
3
832
841
https://arxiv.org/abs/1503.00271
Musina, Roberta; Nazarov, A. I.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32825
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