Asymptotic analysis of singular solutions of the scalar and mean curvature equations.
We study the initial boundary value problem for the system of thermoelasticity in a sequence of perforated cylindrical domains , s = 1,2,... We prove that as s → ∞, the solution of the problem converges in appropriate topologies to the solution of a limit initial boundary value problem of the same type but containing some additional terms which are expressed in terms of quantities related to the geometry of . We give an explicit construction of that limit problem.
In questa nota dimostriamo stime asintotiche ottimali per le soluzioni deboli non negative del problema al contorno