Abstract:
In this paper we study the best constant of the Sobolev trace embedding H 1 (Ω) → L 2 (∂Ω), where Ω is a bounded smooth domain in ℝ N . We find a formula for the first variation of the best constant with respect to the domain. As a consequence, we prove that the ball is a critical domain when we consider deformations that preserve volume. © Canadian Mathematical Society 2008.
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Citas:
---------- APA ----------
(2008)
. First variations of the best Sobolev trace constant with respect to the domain. Canadian Mathematical Bulletin, 51(1), 140-145.
http://dx.doi.org/10.4153/CMB-2008-016-5---------- CHICAGO ----------
Rossi, J.D.
"First variations of the best Sobolev trace constant with respect to the domain"
. Canadian Mathematical Bulletin 51, no. 1
(2008) : 140-145.
http://dx.doi.org/10.4153/CMB-2008-016-5---------- MLA ----------
Rossi, J.D.
"First variations of the best Sobolev trace constant with respect to the domain"
. Canadian Mathematical Bulletin, vol. 51, no. 1, 2008, pp. 140-145.
http://dx.doi.org/10.4153/CMB-2008-016-5---------- VANCOUVER ----------
Rossi, J.D. First variations of the best Sobolev trace constant with respect to the domain. Can. Math. Bull. 2008;51(1):140-145.
http://dx.doi.org/10.4153/CMB-2008-016-5