We prove a phenomenon of concentration of total curvature for stable minimal surfaces in the product space H × R, where H is the hyperbolic plane. Under some geometric conditions on the asymptotic boundary of an oriented stable minimal surface immersed in H × R, it has infinite total curvature. In particular, we infer that a minimal graph M in H × R whose asymptotic boundary is a graph over an ...

Cadastral modelling uses the cadastral data including bearings and distances of boundary lines to calculate coordinates of boundary corners and associated marks, and to evaluate the data. This paper shows that at sites where several boundary corners are intended to be on a straight line a Least Squares adjustment of the boundary data may cause the points to move away from one straight line. M e...

The periodicity cell problems of the homogenization theory, both elastic and thermoelastic, are discussed for a fiber-reinforced plate. A feature cells plates is presence free surfaces in them. As follows from our calculations, boundary layers appear on surfaces. characteristics these unidirectional transverse reinforced investigated.

The boundary states for AdS 2 D-branes in Lorentzian AdS 3 space-time are presented. AdS 2 D-branes are algebraically defined by twisted Dirichlet boundary conditions and are located on twisted conjugacy classes of SL(2,R). Using free field representation of symmetry currents in the SL(2,R) WZNW model, the twisted Dirichlet gluing conditions among currents are translated to matching conditions ...

In this paper, the problem of identifying a boundary pattern, given a set of scattered data points, is addressed. The solution procedure is also referred to as data warehousing. The boundary pattern is extracted from the scattered point dataset by using r-regular shape. In the solution procedure, a robust and effective Delaunay triangulation method is developed, following the works of Bowyer, t...

We consider a class of second order elliptic problems in a domain of RN , N > 2, ε-periodically perforated by holes of size r(ε) , with r(ε)/ε → 0 as ε → 0. A nonlinear Robin-type condition is prescribed on the boundary of some holes while on the boundary of the others as well as on the external boundary of the domain, a Dirichlet condition is imposed. We are interested in the asymptotic behavi...

where 0 c R* is a bounded open set, u: R --* W, and Vtklu denotes the set of all partial derivatives nf of u of ail orders 11) < k. The admissible functions u are required to satisfy suitable boundary conditions or other constraints. It is well known that if I is sequentially weakly lower semicontinuous in the Sobolev space wk,“(.Q), 1 < a < co, and if F satisfies certain growth conditions, the...