Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem |
Autor: | Bonder, J.F.; Saintier, N.; Silva, A. |
Filiación: | Departamento de Matemática, Instituto de Matemática Luis Santaló, IMAS - CONICET Ciudad Universitaria, FCEyN, Universidad de Buenos Aires, Pabellón I (1428) Av. Cantilo s/n, Buenos Aires, Argentina Departamento de Matemática, Ciudad Universitaria, FCEyN, Universidad de Buenos Aires, Pabellón I (1428) Av. Cantilo s/n, Buenos Aires, Argentina Departamento de Matemática, Instituto de Matemática Aplicada de San Luis, IMASL, CONICET, FCFMyN, Universidad Nacional de San Luis, Italia Avenue 1556, San Luis, San Luis 5700, Argentina
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Palabras clave: | Concentration-compactness principle; Fractional elliptic-type problems; Unbounded domains |
Año: | 2018
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Volumen: | 25
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Número: | 6
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DOI: |
http://dx.doi.org/10.1007/s00030-018-0543-5 |
Título revista: | Nonlinear Differential Equations and Applications
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Título revista abreviado: | Nonlinear Diff. Equ. Appl.
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ISSN: | 10219722
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v25_n6_p_Bonder |
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Citas:
---------- APA ----------
Bonder, J.F., Saintier, N. & Silva, A.
(2018)
. The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem. Nonlinear Differential Equations and Applications, 25(6).
http://dx.doi.org/10.1007/s00030-018-0543-5---------- CHICAGO ----------
Bonder, J.F., Saintier, N., Silva, A.
"The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem"
. Nonlinear Differential Equations and Applications 25, no. 6
(2018).
http://dx.doi.org/10.1007/s00030-018-0543-5---------- MLA ----------
Bonder, J.F., Saintier, N., Silva, A.
"The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem"
. Nonlinear Differential Equations and Applications, vol. 25, no. 6, 2018.
http://dx.doi.org/10.1007/s00030-018-0543-5---------- VANCOUVER ----------
Bonder, J.F., Saintier, N., Silva, A. The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem. Nonlinear Diff. Equ. Appl. 2018;25(6).
http://dx.doi.org/10.1007/s00030-018-0543-5