8,423 research outputs found
A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian
In this paper a new div-curl result is established in an open set of
, , for the product of two sequences of vector-valued
functions which are bounded respectively in and
, with , and whose respectively
divergence and curl are compact in suitable spaces. We also assume that the
product converges weakly in . The key ingredient of the proof
is a compactness result for bounded sequences in , based on
the imbedding of into ( the
unit sphere of ) through a suitable selection of annuli on which
the gradients are not too high, in the spirit of De Giorgi and Manfredi. The
div-curl result is applied to the homogenization of equi-coercive systems whose
coefficients are equi-bounded in for some
\rho\textgreater{}{N-1\over 2} if N\textgreater{}2, or in if
. It also allows us to prove a weak continuity result for the Jacobian for
bounded sequences in satisfying an alternative assumption
to the -strong estimate of Brezis and Nguyen. Two examples show the
sharpness of the results
Analysis of tourism competitiveness and the key influencers
The aim of this research is measure and analyse the tourism competitiveness, which has become one of the great challenges of tourism researchers in recent years. We analyze the relationship between tourism competitiveness and major tourist magnitudes, relations with most tourist destinations, and some pillars that measure competitiveness such as sustainability.
A methodology for calculating an indicator of tourism competitiveness based on a double reference point is proposed, taking into account a level of aspiration and reserve level for each pillar of competitiveness. They are considered different degrees of offset between the pillars so that a series of synthetic indices are calculated. Later the rankings obtained for each country are analyzed and conducted a series of analyses.
This tool provides managers with a useful and accurate tool, an interactive flexible and easy to use multi-criteria decision on their part. Allows simulation of situations, monitoring and control of various indicators.
Later statistical tools for analyzing and comparing tourism competitiveness and other quantities are used.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech
Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
We study the asymptotic behavior of the solution of an anisotropic,
heterogeneous, linearized elasticity problem in a cylinder whose diameter
tends to zero. The cylinder is assumed to be fixed (homogeneous
Dirichlet boundary condition) on the whole of one of its extremities, but only
on a small part (of size ) of the second one; the Neumann
boundary condition is assumed on the remainder of the boundary. We show that
the result depends on , and that there are 3 critical sizes, namely
, , and
, and in total 7 different regimes. We also prove a
corrector result for each behavior of .Comment: Preliminary version of a Note to be published in a slightly
abbreviated form in C. R. Acad. Sci. Paris, Ser. I, 338 (2004), pp. 975-98
- …