Riquier–Neumann Problem for the Polyharmonic Equation in a Ball-Reference-Cited by-同舟云学术

Riquier–Neumann Problem for the Polyharmonic Equation in a Ball

Published:2023-02-15 Issue:4 Volume:11 Page:1000
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Karachik Valery¹^ORCID

Affiliation:

1. Department of Mathematical Analysis and Methods of Teaching Mathematics, South Ural State University, 454080 Chelyabinsk, Russia

Abstract

The Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball is constructed. Using the obtained Green’s function, an integral representation of the solution to the Riquier–Neumann problem in the unit ball is found.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/4/1000/pdf

Reference39 articles.

1. Biharmonic Green functions;Begehr;Matematiche,2006

2. Modified harmonic Robin function;Begehr;Complex Var. Elliptic Equ.,2013

3. On an explicit form of Green function of the Robin problem for the Laplace operator in a circle;Sadybekov;Adv. Pure Appl. Math.,2015

4. Biharmonic Green function and biharmonic Neumann function in a sector;Wang;Complex Var. Elliptic Equ.,2013

5. Tri-harmonic boundary value problems in a sector;Wang;Complex Var. Elliptic Equ.,2014

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1. Representation of the Green’s Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball;Дифференциальные уравнения;2023-12-15

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3. On Green’s Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball;Axioms;2023-05-31