Systems of coupled clamped beams equations with full nonlinear terms: Existence and location results

This work gives sufficient conditions for the solvability of the fourth order coupled system┊ u⁽⁴⁾(t)=f(t,u(t),u′(t),u′′(t),u′′′(t),v(t),v′(t),v′′(t),v′′′(t)) v⁽⁴⁾(t)=h(t,u(t),u′(t),u′′(t),u′′′(t),v(t),v′(t),v′′(t),v′′′(t)) with f,h: [0,1]×ℝ⁸→ℝ some L¹- Carathéodory functions, and the boundary conditions {┊ u(0)=u′(0)=u′′(0)=u′′(1)=0 v(0)=v′(0)=v′′(0)=v′′(1)=0. To the best of our knowledge, it is the first time in the literature where two beam equations are considered with full nonlinearities, that is, with dependence on all derivatives of u and v. An application to the study of the bending of two elastic coupled campled beams is considered.

Between the centre and the margins: Services location, economic (re)structuring and quality of life in metropolitan periurban areas.

This paper aims to discuss the specificities of the role of services in the economic structuring and in the social liveliness and attractiveness of periurban areas. Drawing upon on the result of an empirical work developed in 5 different parishes of Lisbon Metropolitan area, which represent five categories of periurban spaces previously identified, it is analysed the role of services in these “in-between” territories and the way they are important in the spatial economic structuring of these areas and in the quality of life and well-being of their inhabitants and users. A tentative typology for framing the analysis of the role of services on periurban metropolitan spaces is suggested and some policy implications are pointed out.

Expenditure pattern analysis of cultural tourists at World Heritage Sites: empirical evidence based on CHAID analysis

This study investigates tourists’ expenditure patterns in the city of Évora, a world heritage site (WHS) classified by UNESCO. The use of chi-squared automatic interaction detection (CHAID) was chosen, allowing the identification of distinct segments based on expenditure patterns. Visitors’ expenditure patterns have proven to be a pertinent element for a broader understanding of visitors’ behaviour at cultural destinations. Visitors’ expenditure patterns were revealed to be increasing within years studied.