Fundamental solutions of two multidimensional elliptic equations

We construct fundamental solutions for two-multidimensional elliptic equations. The solutions are written in explicit form via hypergeometric Gauss functions for $\lambda=0$ and via confluent Horn functions for $\lambda\neq 0$. It is proved that the fundamental solutions found possess power-typ...

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Bibliographic Details
Main Authors: Ilnur Garipov, Rinat Mavlyaviev
Format: Article
Language:English
Published: Texas State University 2018-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/100/abstr.html