The Brezis-Nirenberg problem for the fractional p-Laplacian

Sunra Mosconi; Kanishka Perera; Marco Squassina; Yang Yang

doi:10.1007/s00526-016-1035-2

The Brezis-Nirenberg problem for the fractional p-Laplacian

Sunra Mosconi, Kanishka Perera, Marco Squassina, Yang Yang

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

54 Citazioni (Scopus)

Abstract

We obtain nontrivial solutions to the Brezis–Nirenberg problem for the fractional p-Laplacian operator, extending some results in the literature for the fractional Laplacian. The quasilinear case presents two serious new difficulties.

Lingua originale	English
pagine (da-a)	1-25
Numero di pagine	25
Rivista	Calculus of Variations and Partial Differential Equations
Volume	55
DOI	https://doi.org/10.1007/s00526-016-1035-2
Stato di pubblicazione	Pubblicato - 2016

Keywords

Brezis-Nirenberg problem

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10.1007/s00526-016-1035-2

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abstract = "We obtain nontrivial solutions to the Brezis–Nirenberg problem for the fractional p-Laplacian operator, extending some results in the literature for the fractional Laplacian. The quasilinear case presents two serious new difficulties.",

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author = "Sunra Mosconi and Kanishka Perera and Marco Squassina and Yang Yang",

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AU - Mosconi, Sunra

AU - Perera, Kanishka

AU - Squassina, Marco

AU - Yang, Yang

PY - 2016

Y1 - 2016

N2 - We obtain nontrivial solutions to the Brezis–Nirenberg problem for the fractional p-Laplacian operator, extending some results in the literature for the fractional Laplacian. The quasilinear case presents two serious new difficulties.

AB - We obtain nontrivial solutions to the Brezis–Nirenberg problem for the fractional p-Laplacian operator, extending some results in the literature for the fractional Laplacian. The quasilinear case presents two serious new difficulties.

KW - Brezis-Nirenberg problem

UR - http://hdl.handle.net/10807/86903

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DO - 10.1007/s00526-016-1035-2

M3 - Article

SN - 0944-2669

VL - 55

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EP - 25

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

ER -

The Brezis-Nirenberg problem for the fractional p-Laplacian

Abstract

Keywords

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