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On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions
Journal article   Peer reviewed

On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions

Mokhtar Kirane and Berikbol T. Torebek
Mathematical methods in the applied sciences, Vol.39(5), pp.1121-1128
01/04/2016
DOI: https://doi.org/10.1002/mma.3554

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we investigate the correct solvability for the Laplace equation with a nonlocal boundary condition in the unit ball. The considered boundary operator is of fractional order. This problem is a generalization of the well-known Bitsadze-Samarskii problem. Copyright (C) 2015 John Wiley & Sons, Ltd.

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