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Abstract:

In this paper we analyse the existence of principal eigenvalues and eigenfunctions for a family of eigenvalue problems described by a system consisting in two partial differential equations involving p-Laplacians. Next, we study the asymptotic behaviour, as p→ ∞, of the sequence of principal eigenfunctions and we show that, passing eventually to a subsequence, it converges uniformly to a certain limit given by a pair of continuous functions. Moreover, we identify the limiting equations which have as solutions the limiting functions. © 2019, Universidad Complutense de Madrid.

Registro:

Documento: Artículo
Título:A limiting problem for a family of eigenvalue problems involving p-Laplacians
Autor:Mihailescu, M.; Rossi, J.D.; Stancu-Dumitru, D.
Filiación:Department of Mathematics, University of Craiova, Craiova, 200585, Romania
Research group of the project PN-III-P4-ID-PCE-2016-0035, “Simion Stoilow” Institute of Mathematics of the Romanian Academy, Bucharest, 010702, Romania
Dep. de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pab 1 (1428), Buenos Aires, Argentina
Department of Mathematics and Computer Sciences, University Politehnica of Bucharest, Bucharest, 060042, Romania
Palabras clave:Distance function; Eigenvalue problem; Viscosity solution; Weak solution; Γ -convergence
Año:2019
DOI: http://dx.doi.org/10.1007/s13163-018-00291-x
Título revista:Revista Matematica Complutense
Título revista abreviado:Rev. Mat. Complutense
ISSN:11391138
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11391138_v_n_p_Mihailescu

Referencias:

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Citas:

---------- APA ----------
Mihailescu, M., Rossi, J.D. & Stancu-Dumitru, D. (2019) . A limiting problem for a family of eigenvalue problems involving p-Laplacians. Revista Matematica Complutense.
http://dx.doi.org/10.1007/s13163-018-00291-x
---------- CHICAGO ----------
Mihailescu, M., Rossi, J.D., Stancu-Dumitru, D. "A limiting problem for a family of eigenvalue problems involving p-Laplacians" . Revista Matematica Complutense (2019).
http://dx.doi.org/10.1007/s13163-018-00291-x
---------- MLA ----------
Mihailescu, M., Rossi, J.D., Stancu-Dumitru, D. "A limiting problem for a family of eigenvalue problems involving p-Laplacians" . Revista Matematica Complutense, 2019.
http://dx.doi.org/10.1007/s13163-018-00291-x
---------- VANCOUVER ----------
Mihailescu, M., Rossi, J.D., Stancu-Dumitru, D. A limiting problem for a family of eigenvalue problems involving p-Laplacians. Rev. Mat. Complutense. 2019.
http://dx.doi.org/10.1007/s13163-018-00291-x