Geodesic
Asymptotic behavior of the solutions of some boundary value problems for the Laplace equation in the case of deformation of the domain
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 20 (1982), pp. 3-36.

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We consider boundary-value problems for the Laplace equation in the plane and in certain classes of simply connected domains with boundaries constructed in a complicated way; we find the asymptotic behavior of the solutions of these problems when the deformation parameter of the domain tends to zero. 
@article{INTD_1982_20_a0,
     author = {V. I. Vlasov and A. P. Prudnikov},
     title = {Asymptotic behavior of the solutions of some boundary value problems for the {Laplace} equation in the case of deformation of the domain},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {3--36},
     publisher = {mathdoc},
     volume = {20},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1982_20_a0/}
}
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V. I. Vlasov; A. P. Prudnikov. Asymptotic behavior of the solutions of some boundary value problems for the Laplace equation in the case of deformation of the domain. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 20 (1982), pp. 3-36. http://geodesic.mathdoc.fr/item/INTD_1982_20_a0/