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arXiv · 1902.04234

The Dirichlet problem for elliptic equation with several singular coefficients

Tuhtasin Ergashev
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Abstract

Recently found all the fundamental solutions of a multidimensional singular elliptic equation are expressed in terms of the well-known Lauricella hypergeometric function in many variables. In this paper, we find a unique solution of the Dirichlet problem for an elliptic equation with several singular coefficients in explicit form. When finding a solution, we use decomposition formulas and some adjacent relations for the Lauricella hypergeometric function in many variables.

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Tuhtasin Ergashev. 2019-02-12. The Dirichlet problem for elliptic equation with several singular coefficients. https://arxiv.org/abs/1902.04234

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