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.File in questo prodotto:
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