Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension
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| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00526-023-02446-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7635 |
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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 |
| _version_ |
1762456093740498944 |
| score |
8.891787 |