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On fractional Laplacians - 3. / Musina, Roberta; Nazarov, Alexander I.

In: ESAIM - Control, Optimisation and Calculus of Variations, Vol. 22, No. 3, 01.07.2016, p. 832-841.

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

Harvard

Musina, R & Nazarov, AI 2016, 'On fractional Laplacians - 3', ESAIM - Control, Optimisation and Calculus of Variations, vol. 22, no. 3, pp. 832-841. https://doi.org/10.1051/cocv/2015032

APA

Musina, R., & Nazarov, A. I. (2016). On fractional Laplacians - 3. ESAIM - Control, Optimisation and Calculus of Variations, 22(3), 832-841. https://doi.org/10.1051/cocv/2015032

Vancouver

Musina R, Nazarov AI. On fractional Laplacians - 3. ESAIM - Control, Optimisation and Calculus of Variations. 2016 Jul 1;22(3):832-841. https://doi.org/10.1051/cocv/2015032

Author

Musina, Roberta ; Nazarov, Alexander I. / On fractional Laplacians - 3. In: ESAIM - Control, Optimisation and Calculus of Variations. 2016 ; Vol. 22, No. 3. pp. 832-841.

BibTeX

@article{80a1a876c9bd4782a96824f68e583c2a,

title = "On fractional Laplacians - 3",

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.",

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

author = "Roberta Musina and Nazarov, {Alexander I.}",

year = "2016",

month = jul,

day = "1",

doi = "10.1051/cocv/2015032",

language = "English",

volume = "22",

pages = "832--841",

journal = "ESAIM - Control, Optimisation and Calculus of Variations",

issn = "1292-8119",

publisher = "EDP Sciences",

number = "3",

}

RIS

TY - JOUR

T1 - On fractional Laplacians - 3

AU - Musina, Roberta

AU - Nazarov, Alexander I.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - 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.

AB - 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.

KW - Critical dimensions

KW - Fractional Laplace operators

KW - Navier and Dirichlet boundary conditions

KW - Sobolev inequality

UR - http://www.scopus.com/inward/record.url?scp=84977120715&partnerID=8YFLogxK

U2 - 10.1051/cocv/2015032

DO - 10.1051/cocv/2015032

M3 - Article

VL - 22

SP - 832

EP - 841

JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

SN - 1292-8119

IS - 3

ER -

ID: 7581531