The Dirichlet problem for an elliptic singular equation
Elina ShishkinaDepartment of Mathematical and Applied Analysis, Faculty of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Voronezh, Russia
2019en
ABI
Abstract
Second-order singular elliptic equations of the form ∑i=1n∂2u∂xi2+γixi∂u∂xi=b2u are considered. For a b>0 we find an analytical solution to the Dirichlet problem for this equation. A procedure for obtaining its solution is proposed based on the using of a modified Bessel function of the second kind.
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