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arXiv · 2207.11729

On relations between harmonic functions and solutions of the modified Helmholtz equation

Nikolay Kuznetsov
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Abstract

We consider the $m$-dimensional modified Helmholtz equation and establish two relations between its solutions in a bounded domain and harmonic functions. Both relations essentially rely on properties of the Newtonian potential. Some other characteristics of these solutions are also obtained.

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Nikolay Kuznetsov. 2022-07-24. On relations between harmonic functions and solutions of the modified Helmholtz equation. https://arxiv.org/abs/2207.11729

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