Geodesic
The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2021), pp. 81-91

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At present, the fundamental solutions of the multidimensional singular elliptic equation are known and they are expressed in terms of the well-known Lauricella hypergeometric function of several variables. In this paper, we study the Dirichlet problem for an elliptic equation with several singular coefficients in an unbounded domain. When finding the solution to the posed problem, the expansion and summation formulas , as well as the limit relation for the Lauricella hypergeometric function of several variables are used.
Keywords: Dirichlet problem, multidimensional elliptic equations with several singular coefficients, Lauricella hypergeometric function of many variables.
Mots-clés : decomposition formulas 
@article{IVM_2021_7_a7,
     author = {T. G. Ergashev and Z. R. Tulakova},
     title = {The {Dirichlet} problem for an elliptic equation with several singular coefficients in an infinite domain},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {81--91},
     publisher = {mathdoc},
     number = {7},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_7_a7/}
}
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T. G. Ergashev; Z. R. Tulakova. The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2021), pp. 81-91. http://geodesic.mathdoc.fr/item/IVM_2021_7_a7/