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 ($\varepsilon\rightarrow 0$).
Citation
Daniela Giachetti. Bogdan Vernescu. Maria Agostina Vivaldi. "Asymptotic analysis of singular problems in perforated cylinders." Differential Integral Equations 29 (5/6) 531 - 562, May/June 2016. https://doi.org/10.57262/die/1457536890
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