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Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension

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Main Authors: Nicola De, Nitti, Tobias, König
Format: Book
Language:English
Published: Springer 2023
Online Access:https://link.springer.com/article/10.1007/s00526-023-02446-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7635
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spelling oai:localhost:PNK-76352023-04-06T04:36:17Z Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension Nicola De, Nitti Tobias, König CC BY The function a is assumed to be critical in the sense of Hebey and Vaugon. For low dimensions N∈(2s,4s) , we prove that the Robin function ϕa satisfies infx∈Ωϕa(x)=0, which extends a result obtained by Druet for s=1 . In dimensions N∈(8s/3,4s), we then study the asymptotics of the fractional Brezis–Nirenberg energy S(a+εV) for some V∈L∞(Ω) as ε→0+. We give a precise description of the blow-up profile of (almost) minimizing sequences and characterize the concentration speed and the location of concentration points. 2023-04-06T04:36:17Z 2023-04-06T04:36:17Z 2023 Book https://link.springer.com/article/10.1007/s00526-023-02446-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7635 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
description CC BY
format Book
author Nicola De, Nitti
Tobias, König
spellingShingle Nicola De, Nitti
Tobias, König
Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension
author_facet Nicola De, Nitti
Tobias, König
author_sort Nicola De, Nitti
title Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension
title_short Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension
title_full Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension
title_fullStr Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension
title_full_unstemmed Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension
title_sort critical functions and blow-up asymptotics for the fractional brezis–nirenberg problem in low dimension
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00526-023-02446-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7635
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score 8.891787

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