On fractional Laplacians - 3 › SPbU Researchers Portal

On fractional Laplacians - 3

Research output: Contribution to journal › Article › peer-review

Department of Mathematical Physics

DOI

https://doi.org/10.1051/cocv/2015032
Final published version

Roberta Musina
Alexander I. Nazarov

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.

Original language	English
Pages (from-to)	832-841
Number of pages	10
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	22
Issue number	3
DOIs	https://doi.org/10.1051/cocv/2015032
State	Published - 1 Jul 2016

Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

Research areas

Critical dimensions, Fractional Laplace operators, Navier and Dirichlet boundary conditions, Sobolev inequality

ID: 7581531