The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem
In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the fractional p-Laplacian in the whole R n . © 2...
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2018
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v25_n6_p_Bonder http://hdl.handle.net/20.500.12110/paper_10219722_v25_n6_p_Bonder |
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paper:paper_10219722_v25_n6_p_Bonder |
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paper:paper_10219722_v25_n6_p_Bonder2023-06-08T16:00:06Z The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem Concentration-compactness principle Fractional elliptic-type problems Unbounded domains In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the fractional p-Laplacian in the whole R n . © 2018, Springer Nature Switzerland AG. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v25_n6_p_Bonder http://hdl.handle.net/20.500.12110/paper_10219722_v25_n6_p_Bonder |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Concentration-compactness principle Fractional elliptic-type problems Unbounded domains |
| spellingShingle |
Concentration-compactness principle Fractional elliptic-type problems Unbounded domains The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
| topic_facet |
Concentration-compactness principle Fractional elliptic-type problems Unbounded domains |
| description |
In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the fractional p-Laplacian in the whole R n . © 2018, Springer Nature Switzerland AG. |
| title |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
| title_short |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
| title_full |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
| title_fullStr |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
| title_full_unstemmed |
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
| title_sort |
concentration-compactness principle for fractional order sobolev spaces in unbounded domains and applications to the generalized fractional brezis–nirenberg problem |
| publishDate |
2018 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v25_n6_p_Bonder http://hdl.handle.net/20.500.12110/paper_10219722_v25_n6_p_Bonder |
| _version_ |
1768543382955622400 |