Asymptotic approximation of solution to quasilinear elliptic boundary-value problem in a two-level thick junction of type 3:2:2
Keywords:
homogenization, quasilinear problem, elliptic problem, asymptotic approximation, thick junction
Published online:
2012-12-27
Abstract
We consider quasilinear elliptic boundary-value problem in a two-level thick junction Ωε of type 3:2:2, which is the union of a cylinder Ω0 and a large number of ε-periodically situated thin discs with varying thickness. Different Robin boundary conditions with perturbed parameters are given on the surfaces of the thin discs. The leading terms of the asymptotic expansion are constructed and the corresponding estimate in Sobolev space is obtained.
How to Cite
(1)
Sadovyj, D. Asymptotic Approximation of Solution to Quasilinear Elliptic Boundary-Value Problem in a Two-Level Thick Junction of Type 3:2:2. Carpathian Math. Publ. 2012, 4, 297-315.