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Abstract:

We study the asymptotic behaviour of best Sobolev constants on a compact manifold with boundary that we contract in k directions or to a point. We find in the limit best Sobolev constants for weighted Sobolev spaces of the limit manifold. © 2008 Elsevier Inc. All rights reserved.

Registro:

Documento: Artículo
Título:Asymptotics of best Sobolev constants on thin manifolds
Autor:Saintier, N.
Filiación:Departamento de Matemática, FCEyN UBA, 1428 Buenos Aires, Argentina
Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, C.P. 1613 Los Polvorines, Pcia de Bs. As., Argentina
Año:2009
Volumen:246
Número:7
Página de inicio:2876
Página de fin:2890
DOI: http://dx.doi.org/10.1016/j.jde.2008.10.022
Título revista:Journal of Differential Equations
Título revista abreviado:J. Differ. Equ.
ISSN:00220396
CODEN:JDEQA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00220396_v246_n7_p2876_Saintier.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v246_n7_p2876_Saintier

Referencias:

  • Aubin, T., Equations différentielles non-linéaires et le problème de Yamabé concernant la courbure scalaire (1976) J. Math. Pures Appl. (9), 55 (3), pp. 269-296
  • Biezuner, R.J., Best constants in Sobolev trace inequalities (2003) Nonlinear Anal., 54 (3), pp. 575-589
  • Fernández Bonder, J., Martínez, S., Rossi, J.D., The behavior of the best Sobolev trace constant and extremals in thin domains (2004) J. Differential Equations, 198 (1), pp. 129-148
  • Fernández Bonder, J., Rossi, J.D., Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains (2002) Commun. Pure Appl. Anal., 1 (3), pp. 359-378
  • Fernández Bonder, J., Rossi, J.D., On the existence of extremals for the Sobolev trace embedding theorem with critical exponent (2005) Bull. London Math. Soc., 37 (1), pp. 119-125
  • Fernández Bonder, J., Saintier, N., Estimates for the Sobolev trace constant with critical exponent and applications (2008) Ann. Mat. Pura Appl., 187 (4), pp. 683-704
  • Druet, O., Hebey, E., The AB program in geometric analysis: Sharp Sobolev inequalities and related problems (2002) Mem. Amer. Math. Soc., 160
  • Escobar, J.F., Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary (1992) Ann. of Math. (2), 136 (1), pp. 1-50
  • Lions, P.L., The concentration-compactness principle in the calculus of variations. The limit case, part 2 (1985) Rev. Mat. Iberoamericana, 1 (2), pp. 45-121
  • Marusić, S., Asymptotic behaviour of sharp Sobolev constants in thin domains (2002) J. Math. Anal. Appl., 272 (2), pp. 575-581
  • Marusić, S., Asymptotic behaviour of Sobolev constants for thin curved rods or pipes (2002) Rend. Istit. Mat. Univ. Trieste, 34 (1-2), pp. 57-65
  • Saintier, N., Generalized mean curvature type equations on compact manifolds with boundary in preparation

Citas:

---------- APA ----------
(2009) . Asymptotics of best Sobolev constants on thin manifolds. Journal of Differential Equations, 246(7), 2876-2890.
http://dx.doi.org/10.1016/j.jde.2008.10.022
---------- CHICAGO ----------
Saintier, N. "Asymptotics of best Sobolev constants on thin manifolds" . Journal of Differential Equations 246, no. 7 (2009) : 2876-2890.
http://dx.doi.org/10.1016/j.jde.2008.10.022
---------- MLA ----------
Saintier, N. "Asymptotics of best Sobolev constants on thin manifolds" . Journal of Differential Equations, vol. 246, no. 7, 2009, pp. 2876-2890.
http://dx.doi.org/10.1016/j.jde.2008.10.022
---------- VANCOUVER ----------
Saintier, N. Asymptotics of best Sobolev constants on thin manifolds. J. Differ. Equ. 2009;246(7):2876-2890.
http://dx.doi.org/10.1016/j.jde.2008.10.022