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Abstract:

In this note we give some remarks and improvements on our recent paper [5] about an optimization problem for the p-Laplace operator that were motivated by some discussion that we had with Prof. Cianchi. © 2009 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:Remarks on an optimization problem for the p-Laplacian
Autor:Del Pezzo, L.M.; Fernández Bonder, J.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellon I, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Optimization; p-Laplacian; Shape derivative; Optimization problems; P-Laplace operator; p-Laplacian; Shape derivative; Laplace transforms; Nonlinear equations; Optimization
Año:2010
Volumen:23
Número:2
Página de inicio:188
Página de fin:192
DOI: http://dx.doi.org/10.1016/j.aml.2009.09.010
Título revista:Applied Mathematics Letters
Título revista abreviado:Appl Math Lett
ISSN:08939659
CODEN:AMLEE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_08939659_v23_n2_p188_DelPezzo.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v23_n2_p188_DelPezzo

Referencias:

  • Del Pezzo, L.M., Fernández Bonder, J., Some optimization problems for p-Laplacian type equations (2009) Appl. Math. Optim., 59, pp. 365-381
  • Cuccu, F., Emamizadeh, B., Porru, G., Nonlinear elastic membranes involving the p-Laplacian operator (2006) Electron. J. Differential Equations, (49), p. 10
  • Burton, G.R., Rearrangements of functions, maximization of convex functionals, and vortex rings (1987) Math. Ann., 276 (2), pp. 225-253
  • Evans, L.C., Gariepy, R.F., (1992) Studies in Advanced Mathematics, , CRC Press, Boca Raton, FL
  • Tolksdorf, P., Regularity for a more general class of quasilinear elliptic equations (1984) J. Differential Equations, 51, pp. 126-150
  • Ladyzhenskaya, O.A., Solonnikov, V.A., Ural'tseva, N.N., Linear and quasilinear equations of parabolic type (1968) Transl. Math. Monographs, 23. , Amer. Math. Soc., Providence, RI
  • García Meliá, J., Sabina de Lis, J., On the perturbation of eigenvalues for the p-Laplacian (2001) C. R. Acad. Sci., Paris, 332 (10), pp. 893-898

Citas:

---------- APA ----------
Del Pezzo, L.M. & Fernández Bonder, J. (2010) . Remarks on an optimization problem for the p-Laplacian. Applied Mathematics Letters, 23(2), 188-192.
http://dx.doi.org/10.1016/j.aml.2009.09.010
---------- CHICAGO ----------
Del Pezzo, L.M., Fernández Bonder, J. "Remarks on an optimization problem for the p-Laplacian" . Applied Mathematics Letters 23, no. 2 (2010) : 188-192.
http://dx.doi.org/10.1016/j.aml.2009.09.010
---------- MLA ----------
Del Pezzo, L.M., Fernández Bonder, J. "Remarks on an optimization problem for the p-Laplacian" . Applied Mathematics Letters, vol. 23, no. 2, 2010, pp. 188-192.
http://dx.doi.org/10.1016/j.aml.2009.09.010
---------- VANCOUVER ----------
Del Pezzo, L.M., Fernández Bonder, J. Remarks on an optimization problem for the p-Laplacian. Appl Math Lett. 2010;23(2):188-192.
http://dx.doi.org/10.1016/j.aml.2009.09.010