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Fernández Bonder, J.; Spedaletti, J.F. "Some nonlocal optimal design problems" (2018) Journal of Mathematical Analysis and Applications. 459(2):906-931
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Abstract:

In this paper we study two optimal design problems associated to fractional Sobolev spaces Ws,p(Ω). Then we find a relationship between these two problems and finally we investigate the convergence when s↑1. © 2017 Elsevier Inc.

Registro:

Documento: Artículo
Título:Some nonlocal optimal design problems
Autor:Fernández Bonder, J.; Spedaletti, J.F.
Filiación:Departamento de Matemática, FCEN, Universidad de Buenos Aires, IMAS – CONICET, Ciudad Universitaria, Pabellón I, Av. Cantilo 2160, Buenos Aires, C1428EGA, Argentina
Departamento de Matemática, Universidad Nacional de San Luis, IMASL – CONICET, Ejército de los Andes 950, San Luis, D5700HHW, Argentina
Palabras clave:Fractional laplacian; Gamma convergence; Shape optimization
Año:2018
Volumen:459
Número:2
Página de inicio:906
Página de fin:931
DOI: http://dx.doi.org/10.1016/j.jmaa.2017.11.015
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v459_n2_p906_FernandezBonder

Referencias:

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  • Dal Maso, G., An Introduction to Γ-Convergence (1993) Progress in Nonlinear Differential Equations and Their Applications, 8. , Birkhäuser Boston, Inc. Boston, MA
  • Del Pezzo, L., Fernández Bonder, J., López-Ríos, L., An optimization problem for the first eigenvalue of the p-fractional laplacian (2016) Math. Nachr., , in press
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  • Fernández Bonder, J., Groisman, P., Rossi, J.D., Optimization of the first Steklov eigenvalue in domains with holes: a shape derivative approach (2007) Ann. Mat. Pura Appl. (4), 186 (2), pp. 341-358
  • Fernández Bonder, J., Rossi, J.D., Wolanski, N., Regularity of the free boundary in an optimization problem related to the best Sobolev trace constant (2005) SIAM J. Control Optim., 44 (5), pp. 1614-1635
  • Fernández Bonder, J., Rossi, J.D., Wolanski, N., On the best Sobolev trace constant and extremals in domains with holes (2006) Bull. Sci. Math., 130 (7), pp. 565-579
  • Laskin, N., Fractional Schrödinger equation (2002) Phys. Rev. E (3), 66 (5). , 7 pp
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Citas:

---------- APA ----------
Fernández Bonder, J. & Spedaletti, J.F. (2018) . Some nonlocal optimal design problems. Journal of Mathematical Analysis and Applications, 459(2), 906-931.
http://dx.doi.org/10.1016/j.jmaa.2017.11.015
---------- CHICAGO ----------
Fernández Bonder, J., Spedaletti, J.F. "Some nonlocal optimal design problems" . Journal of Mathematical Analysis and Applications 459, no. 2 (2018) : 906-931.
http://dx.doi.org/10.1016/j.jmaa.2017.11.015
---------- MLA ----------
Fernández Bonder, J., Spedaletti, J.F. "Some nonlocal optimal design problems" . Journal of Mathematical Analysis and Applications, vol. 459, no. 2, 2018, pp. 906-931.
http://dx.doi.org/10.1016/j.jmaa.2017.11.015
---------- VANCOUVER ----------
Fernández Bonder, J., Spedaletti, J.F. Some nonlocal optimal design problems. J. Math. Anal. Appl. 2018;459(2):906-931.
http://dx.doi.org/10.1016/j.jmaa.2017.11.015