## Differential and Integral Equations

### Asymptotic analysis of singular problems in perforated cylinders

#### Abstract

In this paper, we deal with elliptic problems having terms singular in the variable $u$ which represents the solution. The problems are posed in cylinders $\Omega_n^\varepsilon$ of height $2n$ and perforated according to a parameter $\varepsilon$. We study existence, uniqueness and asymptotic behavior of the solutions $u_n^\varepsilon$ as the cylinders become infinite ($n\rightarrow +\infty$) and the size of the holes decreases while the number of the holes increases ($\varepsilon\rightarrow 0$).

#### Article information

Source
Differential Integral Equations, Volume 29, Number 5/6 (2016), 531-562.

Dates
First available in Project Euclid: 9 March 2016