The generalized Holmgren problem for elliptic equation with several singular coefficients
Analysis of PDEs
2019-10-14 v1
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 generalized Holmgren 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.
Keywords
Cite
@article{arxiv.1910.05264,
title = {The generalized Holmgren problem for elliptic equation with several singular coefficients},
author = {Tuhtasin Ergashev},
journal= {arXiv preprint arXiv:1910.05264},
year = {2019}
}
Comments
19 pages, in Russian