A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.
Krutitskii, P.A., Krutitskaya, N.Ch., Malysheva, G.Yu. (1999)
Mathematical Problems in Engineering
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Krutitskii, P.A., Krutitskaya, N.Ch., Malysheva, G.Yu. (1999)
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J. B. Díaz, R. B. Ram (1979)
Collectanea Mathematica
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Krutitskii, P.A. (1999)
Mathematical Problems in Engineering
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Dagmar Medková (1998)
Archivum Mathematicum
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Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.