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Optimization problem for extremals of the trace inequality in domains with holes
(World Scientific, 2010-08)
We study the Sobolev trace constant for functions defined in a bounded domain Ω that vanish in the subset A. We find a formula for the first variation of the Sobolev trace with respect to the hole. As a consequence of this ...
Effects of breeder feeding and trace mineral source on leg health and bone traits of broiler progeny
(Elsevier B.V., 2010-01-01)
Effects of breeder feeding and trace mineral source on leg health and bone traits of broiler progeny
(Elsevier B.V., 2010-01-01)
The best Sobolev trace constant in periodic media for critical and subcritical exponents
(Cambridge University Press, 2009-09)
In this paper we study homogenisation problems for Sobolev trace embedding H1(Ω) ↪ Lq(∂Ω) in a bounded smooth domain. When q = 2 this leads to a Steklov-like eigenvalue problem. We deal with the best constant of the Sobolev ...
Sampling solution traces for the problem of sorting permutations by signed reversals
(Biomed Central LtdLondonInglaterra, 2012)
Development of a marked structure for traces of parallel and distributed systems
(2014-01-01)
The evaluation of high-performance systems, including grids, depends strongly of the workload applied during benchmarks or simulations. This is more evident with simulations, where the workloads may be created either by ...
The best Sobolev trace constant in domains with holes for critical or subcritical exponents
(Cambridge University Press, 2007-12)
In this paper we study the best constant in the Sobolev trace embedding H1 (Ω) → Lq(∂Ω) in a bounded smooth domain for 1 < q ≤ 2+ = 2(N - 1)/(N - 2), that is, critical or subcritical q. First, we consider a domain with ...
The best Sobolev trace constant in a domain with oscillating boundary
(Pergamon-Elsevier Science Ltd, 2007-12)
In this paper we study homogenization problems for the best constant for the Sobolev trace embedding W1, p (Ω) {right arrow, hooked} Lq (∂ Ω) in a bounded smooth domain when the boundary is perturbed by adding an oscillation. ...