The convexity of a planar domain via properties of solutions to the modified Helmholtz equation

DOI10.1007/S10958-024-07137-6MaRDI QIDQ6545206

Nikolay Kuznetsov

Publication date: 29 May 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemmodified Helmholtz equationconvexity of planar domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Elementare Bemerkungen über die Lösungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus.
• Yukawan potential theory
• The Convexity of a Domain and the Superharmonicity of the Signed Distance Function
• Three Secrets About Harmonic Functions
• The normal derivative lemma and surrounding issues
• Diffusion processes in a small time interval

Related Items (1)

Analytic characterization of convex sets in \(\mathbb{R}^m\) (a survey)

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