Dirichlet Problem for the Laplace Equation in the Hyperoctant of a Multidimensional Ball-Reference-Cited by-同舟云学术

Dirichlet Problem for the Laplace Equation in the Hyperoctant of a Multidimensional Ball

Published:2023-03 Issue:3 Volume:44 Page:1072-1079
ISSN:1995-0802
Container-title:Lobachevskii Journal of Mathematics
language:en
Short-container-title:Lobachevskii J Math

Author:

Abbasova M. O.,Ergashev T. G.,Yuldashev T. K.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1134/S1995080223030022.pdf

Reference17 articles.

1. S. G. Mikhlin, Mathematical Physics, An Advanced Course (Nauka, Moscow, 1968; North-Holland, Amsterdam, 1970).

2. E. Holmgren, ‘‘Sur un probleme aux limites pour leqution,’’ Ark. Mat. Astron. Fys. 19B (14), 1–3 (1927).

3. T. G. Ergashev, ‘‘The Dirichlet problem for elliptic equation with several singular coefficients,’’ E-J. Anal. Appl. Math. 1, 81–99 (2018).

4. V. Karachik, B. Turmetov, and A. Bekaeva, ‘‘Solvability conditions of the Neymann boundary value problem for the biharmonic equation in the unit ball,’’ Int. J. Pure Appl. Math. 8, 487–495 (2012).

5. T. Sh. Kal’menov and G. D. Arepova, ‘‘Representation of solution of the Dirichlet problem for the Laplace equation in the form of a generalized convolution,’’ Complex Var. Ellipt. Equat. 64, 816–824 (2019).

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