Artículo

Del Pezzo, L.M.; Rossi, J.D. "Eigenvalues for a nonlocal pseudo p-Laplacian" (2016) Discrete and Continuous Dynamical Systems- Series A. 36(12):6737-6765
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Abstract:

In this paper we study the eigenvalue problems for a nonlocal operator of order s that is analogous to the local pseudo p-Laplacian. We show that there is a sequence of eigenvalues λn→ ∞and that the first one is positive, simple, isolated and has a positive and bounded associated eigenfunction. For the first eigenvalue we also analyze the limits as p → ∞ (obtaining a limit nonlocal eigenvalue problem analogous to the pseudo infinity Laplacian) and as s → 1- (obtaining the first eigenvalue for a local operator of p-Laplacian type). To perform this study we have to introduce anisotropic fractional Sobolev spaces and prove some of their properties.

Registro:

Documento: Artículo
Título:Eigenvalues for a nonlocal pseudo p-Laplacian
Autor:Del Pezzo, L.M.; Rossi, J.D.
Filiación:CONICET, Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellon i, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Palabras clave:Asymptotic behavior; Dirichlet boundary conditions; Eigenvalues; Nonlocal operator
Año:2016
Volumen:36
Número:12
Página de inicio:6737
Página de fin:6765
DOI: http://dx.doi.org/10.3934/dcds.2016093
Título revista:Discrete and Continuous Dynamical Systems- Series A
Título revista abreviado:Discrete Contin. Dyn. Syst. Ser A
ISSN:10780947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10780947_v36_n12_p6737_DelPezzo

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Citas:

---------- APA ----------
Del Pezzo, L.M. & Rossi, J.D. (2016) . Eigenvalues for a nonlocal pseudo p-Laplacian. Discrete and Continuous Dynamical Systems- Series A, 36(12), 6737-6765.
http://dx.doi.org/10.3934/dcds.2016093
---------- CHICAGO ----------
Del Pezzo, L.M., Rossi, J.D. "Eigenvalues for a nonlocal pseudo p-Laplacian" . Discrete and Continuous Dynamical Systems- Series A 36, no. 12 (2016) : 6737-6765.
http://dx.doi.org/10.3934/dcds.2016093
---------- MLA ----------
Del Pezzo, L.M., Rossi, J.D. "Eigenvalues for a nonlocal pseudo p-Laplacian" . Discrete and Continuous Dynamical Systems- Series A, vol. 36, no. 12, 2016, pp. 6737-6765.
http://dx.doi.org/10.3934/dcds.2016093
---------- VANCOUVER ----------
Del Pezzo, L.M., Rossi, J.D. Eigenvalues for a nonlocal pseudo p-Laplacian. Discrete Contin. Dyn. Syst. Ser A. 2016;36(12):6737-6765.
http://dx.doi.org/10.3934/dcds.2016093