On analogues of periodic boundary value problems for the Laplace operator in a ball

Makhmud Sadybekov; Batyrkhan Turmetov

On analogues of periodic boundary value problems for the Laplace operator in a ball

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Authors

Makhmud Sadybekov
Batyrkhan Turmetov

Keywords:

the Laplace operator, periodic boundary value problem, extremum principle, the Green function, eigenvalues, eigenfunctions

Abstract

We consider a new class of boundary value problems for the Laplace operator in a multi-dimensional ball. These problems are analogues of classical periodic boundary value problems. We prove the correctness of these problems and present a method for constructing all eigenfunctions of the problem.

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Published

2012-03-30

How to Cite

Sadybekov, M., & Turmetov, B. (2012). On analogues of periodic boundary value problems for the Laplace operator in a ball. Eurasian Mathematical Journal, 3(1), 143–146. Retrieved from https://emj.enu.kz/index.php/main/article/view/785