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Abstract:

We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights. © 2018 Khayyam Publishing. All rights reserved.

Registro:

Documento: Artículo
Título:Symmetry breaking for an elliptic equation involving the fractional Laplacian
Autor:De Nápoli, P.L.
Filiación:IMAS (UBA-CONICET), Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Año:2018
Volumen:31
Número:1-2
Página de inicio:75
Página de fin:94
Título revista:Differential and Integral Equations
Título revista abreviado:Differ. Integr. Equ.
ISSN:08934983
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v31_n1-2_p75_DeNapoli

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Citas:

---------- APA ----------
(2018) . Symmetry breaking for an elliptic equation involving the fractional Laplacian. Differential and Integral Equations, 31(1-2), 75-94.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v31_n1-2_p75_DeNapoli [ ]
---------- CHICAGO ----------
De Nápoli, P.L. "Symmetry breaking for an elliptic equation involving the fractional Laplacian" . Differential and Integral Equations 31, no. 1-2 (2018) : 75-94.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v31_n1-2_p75_DeNapoli [ ]
---------- MLA ----------
De Nápoli, P.L. "Symmetry breaking for an elliptic equation involving the fractional Laplacian" . Differential and Integral Equations, vol. 31, no. 1-2, 2018, pp. 75-94.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v31_n1-2_p75_DeNapoli [ ]
---------- VANCOUVER ----------
De Nápoli, P.L. Symmetry breaking for an elliptic equation involving the fractional Laplacian. Differ. Integr. Equ. 2018;31(1-2):75-94.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v31_n1-2_p75_DeNapoli [ ]