Browsing by Author "Martínez, S"

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    The behavior of the best Sobolev trace constant and extremals in thin domains
    (2004) Bonder, JF; Martínez, S; Rossi, JD
    In this paper, we study the asymptotic behavior of the best Sobolev trace constant and extremals for the immersion W-1,W-p (Omega) hooked right arrow L-q (partial derivativeOmega) in a bounded smooth domain when it is contracted in one direction. We find that the limit problem, when rescaled in a suitable way, is a Sobolev-type immersion in weighted spaces over a projection of Omega, W-1,W-p (P(Omega),alpha) hooked right arrow L-q (P(Omega), beta).