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arXiv · 2609.06523

On solutions of the modified Helmholtz equation in a planar domain

Alexander I. Nazarov
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Abstract

A criterion for the convexity of a two-dimensional domain is proved in terms of the solution of a boundary value problem for the modified Helmholtz equation.

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Alexander I. Nazarov. 2026-09-06. On solutions of the modified Helmholtz equation in a planar domain. https://arxiv.org/abs/2609.06523

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