The Dirichlet boundary value problem for two non-overlapping spheres
1970 ◽
Vol 2
(2)
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pp. 237-245
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Keyword(s):
A new method is found for solving the general Dirichlet problem for two non-overlapping spheres of different radius. The expression for the external potential involves hypergeometric functions and is obtained from an infinite set of linear equations. In essence the method makes use of the fact that (I–A)–1 = I + A + A2 + A3 + …, where A belongs to a certain class of infinite matrices and I is the unit matrix.
Multiple solutions for semi-linear corner degenerate elliptic equations with singular potential term
2016 ◽
Vol 19
(04)
◽
pp. 1650043
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2013 ◽
2005 ◽
Vol 2005
(583)
◽
pp. 29-86
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