Work

On solutions of the modified Helmholtz equation in a planar domain

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.06523

Author: Nazarov, Alexander I.

Institutions: Russian Academy of Sciences, St Petersburg University, St. Petersburg Department of Steklov Institute of Mathematics

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212062744

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