In this paper, we deal with elliptic problems having terms singular in the variable uu which represents the solution. The problems are posed in cylinders Ωnε of height 2n and perforated according to a parameter ε. We study existence, uniqueness and asymptotic behavior of the solutions uεn as the cylinders become infinite (n→+∞) and the size of the holes decreases while the number of the holes increases (ε→0).
Asymptotic analysis of singular problems in perforated cylinders / Giachetti, Daniela; Vernescu, Bogdan; Vivaldi, Maria Agostina. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - STAMPA. - 29 no. 5-6.:(2016), pp. 531-562.
Asymptotic analysis of singular problems in perforated cylinders.
GIACHETTI, Daniela;VIVALDI, Maria Agostina
2016
Abstract
In this paper, we deal with elliptic problems having terms singular in the variable uu which represents the solution. The problems are posed in cylinders Ωnε of height 2n and perforated according to a parameter ε. We study existence, uniqueness and asymptotic behavior of the solutions uεn as the cylinders become infinite (n→+∞) and the size of the holes decreases while the number of the holes increases (ε→0).| File | Dimensione | Formato | |
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