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Abstract:

In 1993, V. Šverák proved that if a sequence of uniformly bounded domains Ωn ℝ2 such that Ωn → Ω in the sense of the Hausdorff complementary topology, verify that the number of connected components of its complements are bounded, then the solutions of the Dirichlet problem for the Laplacian with source f ∈ L2(ℝ2) converges to the solution of the limit domain with same source. In this paper, we extend Šverák result to variable exponent spaces.

Registro:

Documento: Artículo
Título:An extension of a theorem of V. Šverák to variable exponent spaces
Autor:Baroncini, C.; Fernández Bonder, J.
Filiación:IMAS-CONICET, Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
Palabras clave:Nonstandard growth; Sensitivity analysis; Shape optimization
Año:2015
Volumen:14
Número:5
Página de inicio:1987
Página de fin:2007
DOI: http://dx.doi.org/10.3934/cpaa.2015.14.1987
Título revista:Communications on Pure and Applied Analysis
Título revista abreviado:Commun. Pure Appl. Anal.
ISSN:15340392
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v14_n5_p1987_Baroncini

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Citas:

---------- APA ----------
Baroncini, C. & Fernández Bonder, J. (2015) . An extension of a theorem of V. Šverák to variable exponent spaces. Communications on Pure and Applied Analysis, 14(5), 1987-2007.
http://dx.doi.org/10.3934/cpaa.2015.14.1987
---------- CHICAGO ----------
Baroncini, C., Fernández Bonder, J. "An extension of a theorem of V. Šverák to variable exponent spaces" . Communications on Pure and Applied Analysis 14, no. 5 (2015) : 1987-2007.
http://dx.doi.org/10.3934/cpaa.2015.14.1987
---------- MLA ----------
Baroncini, C., Fernández Bonder, J. "An extension of a theorem of V. Šverák to variable exponent spaces" . Communications on Pure and Applied Analysis, vol. 14, no. 5, 2015, pp. 1987-2007.
http://dx.doi.org/10.3934/cpaa.2015.14.1987
---------- VANCOUVER ----------
Baroncini, C., Fernández Bonder, J. An extension of a theorem of V. Šverák to variable exponent spaces. Commun. Pure Appl. Anal. 2015;14(5):1987-2007.
http://dx.doi.org/10.3934/cpaa.2015.14.1987