Abstract:
In this paper, we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional p-Laplacian. These conditions are given in terms of the fractional capacity of the approximating domains. © 2017 Elsevier Ltd
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Artículo
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Título: | Continuity results with respect to domain perturbation for the fractional p-Laplacian |
Autor: | Baroncini, C.; Fernández Bonder, J.; Spedaletti, J.F. |
Filiación: | Departamento de Matemática FCEN - Universidad de Buenos Aires and IMAS - CONICET. Ciudad Universitaria, Pabellón I (C1428EGA) Av. Cantilo 2160. Buenos Aires, Argentina Departamento de Matemática, Universidad Nacional de San Luis and IMASL - CONICET. Ejército de los Andes 950 (D5700HHW), San Luis, Argentina
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Palabras clave: | Domain perturbation; Fractional capacity; Fractional p-Laplacian; Mathematical techniques; Domain perturbation; Fractional capacity; P-Laplacian; Laplace transforms |
Año: | 2018
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Volumen: | 75
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Página de inicio: | 59
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Página de fin: | 67
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DOI: |
http://dx.doi.org/10.1016/j.aml.2017.06.005 |
Título revista: | Applied Mathematics Letters
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Título revista abreviado: | Appl Math Lett
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ISSN: | 08939659
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CODEN: | AMLEE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v75_n_p59_Baroncini |
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Citas:
---------- APA ----------
Baroncini, C., Fernández Bonder, J. & Spedaletti, J.F.
(2018)
. Continuity results with respect to domain perturbation for the fractional p-Laplacian. Applied Mathematics Letters, 75, 59-67.
http://dx.doi.org/10.1016/j.aml.2017.06.005---------- CHICAGO ----------
Baroncini, C., Fernández Bonder, J., Spedaletti, J.F.
"Continuity results with respect to domain perturbation for the fractional p-Laplacian"
. Applied Mathematics Letters 75
(2018) : 59-67.
http://dx.doi.org/10.1016/j.aml.2017.06.005---------- MLA ----------
Baroncini, C., Fernández Bonder, J., Spedaletti, J.F.
"Continuity results with respect to domain perturbation for the fractional p-Laplacian"
. Applied Mathematics Letters, vol. 75, 2018, pp. 59-67.
http://dx.doi.org/10.1016/j.aml.2017.06.005---------- VANCOUVER ----------
Baroncini, C., Fernández Bonder, J., Spedaletti, J.F. Continuity results with respect to domain perturbation for the fractional p-Laplacian. Appl Math Lett. 2018;75:59-67.
http://dx.doi.org/10.1016/j.aml.2017.06.005