Artículo

La versión final de este artículo es de uso interno de la institución.
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W1,p(Ω) → L p(∂Ω), where Ω is abounded smooth domain in ℝN, p* = p(N - 1)/(N - p) is the critical Sobolev exponent, and 1 < p < N. © 2005 London Mathematical Society.

Registro:

Documento: Artículo
Título:On the existence of extremals for the Sobolev trace embedding theorem with critical exponent
Autor:Bonder, J.F.; Rossi, J.D.
Filiación:Departemento de Matemática, FCEyN, UBA (1428), Buenos Aires, Argentina
Departamento de Matemática, Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
Año:2005
Volumen:37
Número:1
Página de inicio:119
Página de fin:125
DOI: http://dx.doi.org/10.1112/S0024609304003819
Título revista:Bulletin of the London Mathematical Society
Título revista abreviado:Bull. Lond. Math. Soc.
ISSN:00246093
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v37_n1_p119_Bonder

Referencias:

  • Adimurthi, S.L.Y., Positive solution for Neumann problem with critical non linearity on boundary (1991) Comm. Partial Differential Equations, 16, pp. 1733-1760
  • Aubin, T., Équations différentielles non linéaires et le problème de Yamabe concernant la courbure scalaire (1976) J. Math. Pures et Appl., 55, pp. 269-296
  • Aubin, T., Problèmes isopérimétriques et espaces de Sobolev (1976) J. Differential Geom., 11, pp. 573-598
  • Biezuner, R.J., Best constants in Sobolev trace inequalities (2003) Nonlinear Analysis, 54, pp. 575-589
  • Brezis, H., Nirenberg, L., Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents (1983) Comm. Pure Appl. Math., 36, pp. 437-477
  • 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., Sharp constant in a Sobolev trace inequality (1988) Indiana Math. J., 37, pp. 687-698
  • Bonder, J.F., Rossi, J.D., Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains (2002) Comm. Pure Appl. Anal., 1, pp. 359-378
  • Bonder, J.F., Ferreira, R., Rossi, J.D., Uniform bounds for the best Sobolev trace constant (2003) Advanced Nonlinear Studies, 3, pp. 181-192
  • Bonder, J.F., Dozo, E.L., Rossi, J.D., Symmetry properties for the extremals of the Sobolev trace embedding in small balls Ann. Inst. H. Poincaré Anal. Non Linéaire, , to appear
  • Gidas, B., Ni, W.M., Nirenberg, L., Symmetry and related properties via maximum principle (1979) Comm. Math. Phys., 68, pp. 209-243
  • Li, Y., Zhu, M., Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries (1997) Comm. Pure Appl. Math., 50, pp. 449-487
  • Del Pino, M., Flores, C., Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains (2001) Comm. Partial Differential Equations, 26, pp. 2189-2210
  • Tolksdorf, P., Regularity for a more general class of quasilinear elliptic equations (1984) J. Differential Equations, 51, pp. 126-150
  • Vazquez, J.L., A strong maximum principle for some quasilinear elliptic equations (1984) Appl. Math. Optim., 12, pp. 191-202
  • Yamabe, H., On a deformation of Riemannian structures on compact mainfolds (1960) Osaka Math. J., 12, pp. 21-37

Citas:

---------- APA ----------
Bonder, J.F. & Rossi, J.D. (2005) . On the existence of extremals for the Sobolev trace embedding theorem with critical exponent. Bulletin of the London Mathematical Society, 37(1), 119-125.
http://dx.doi.org/10.1112/S0024609304003819
---------- CHICAGO ----------
Bonder, J.F., Rossi, J.D. "On the existence of extremals for the Sobolev trace embedding theorem with critical exponent" . Bulletin of the London Mathematical Society 37, no. 1 (2005) : 119-125.
http://dx.doi.org/10.1112/S0024609304003819
---------- MLA ----------
Bonder, J.F., Rossi, J.D. "On the existence of extremals for the Sobolev trace embedding theorem with critical exponent" . Bulletin of the London Mathematical Society, vol. 37, no. 1, 2005, pp. 119-125.
http://dx.doi.org/10.1112/S0024609304003819
---------- VANCOUVER ----------
Bonder, J.F., Rossi, J.D. On the existence of extremals for the Sobolev trace embedding theorem with critical exponent. Bull. Lond. Math. Soc. 2005;37(1):119-125.
http://dx.doi.org/10.1112/S0024609304003819