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.
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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