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Del Pezzo, L.M.; Salort, A.M. "The first non-zero Neumann p-fractional eigenvalue" (2015) Nonlinear Analysis, Theory, Methods and Applications. 118:130-143
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Abstract:

In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue λ1(s,p) as s → 1- and as p → ∞. We show that there exists a constant K such that K(1-s)λ1(s,p) goes to the first non-zero Neumann eigenvalue of the p-Laplacian. While in the limit case p → ∞, we prove that λ-(1,s)1/p goes to an eigenvalue of the Hölder ∞-Laplacian. © 2015 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:The first non-zero Neumann p-fractional eigenvalue
Autor:Del Pezzo, L.M.; Salort, A.M.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Palabras clave:Hölder infinity Laplacian; Neumann eigenvalues; Nonlinear fractional Laplacian; Laplace transforms; Asymptotic behaviors; Eigen-value; Fractional Laplacian; Infinity laplacian; Laplacians; Neumann; Neumann eigenvalues; P-Laplacian; Eigenvalues and eigenfunctions
Año:2015
Volumen:118
Página de inicio:130
Página de fin:143
DOI: http://dx.doi.org/10.1016/j.na.2015.02.006
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v118_n_p130_DelPezzo

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Citas:

---------- APA ----------
Del Pezzo, L.M. & Salort, A.M. (2015) . The first non-zero Neumann p-fractional eigenvalue. Nonlinear Analysis, Theory, Methods and Applications, 118, 130-143.
http://dx.doi.org/10.1016/j.na.2015.02.006
---------- CHICAGO ----------
Del Pezzo, L.M., Salort, A.M. "The first non-zero Neumann p-fractional eigenvalue" . Nonlinear Analysis, Theory, Methods and Applications 118 (2015) : 130-143.
http://dx.doi.org/10.1016/j.na.2015.02.006
---------- MLA ----------
Del Pezzo, L.M., Salort, A.M. "The first non-zero Neumann p-fractional eigenvalue" . Nonlinear Analysis, Theory, Methods and Applications, vol. 118, 2015, pp. 130-143.
http://dx.doi.org/10.1016/j.na.2015.02.006
---------- VANCOUVER ----------
Del Pezzo, L.M., Salort, A.M. The first non-zero Neumann p-fractional eigenvalue. Nonlinear Anal Theory Methods Appl. 2015;118:130-143.
http://dx.doi.org/10.1016/j.na.2015.02.006