Schwarz problem in lens and lune

DOI10.1080/17476933.2013.799152zbMath1284.35123OpenAlexW2017643209MaRDI QIDQ5404694

Heinrich Begehr, Tatyana Vaitekhovich

Publication date: 28 March 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.799152

zbMATH Keywords

Poisson kernelCauchy-Riemann equationSchwarz problemlensSchwarz kernellune

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) Boundary value problems for linear first-order PDEs (35F15)

Related Items (23)

Dirichlet and Neumann problems for Poisson equation in half Lens ⋮ Schwarz boundary problem on a triangle ⋮ Dirichlet problem for complex Poisson equation in a half hexagon domain ⋮ Integral Representations Related to Complex Partial Differential Operators ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Green function for a hyperbolic strip and a class of related plane domains ⋮ Riemann-Hilbert-type boundary value problems on a half hexagon ⋮ The Parqueting-Reflection Principle ⋮ Schwarz boundary value problem on Reuleaux triangle ⋮ Three boundary value problems of the Cauchy–Riemann equation in the Eclipse domain ⋮ Schwarz boundary value problem for the Cauchy-Riemann equation in a rectangle ⋮ A note on the Schwarz problem in a ring domain ⋮ Fundamental Solutions to the Laplacian in Plane Domains Bounded by Ellipses ⋮ Riemann–Hilbert Problems for Monogenic Functions on Upper Half Ball of $${\mathbb {R}}^4$$ R 4 ⋮ SOME BOUNDARY VALUE PROBLEMS FOR THE CAUCHY-RIEMANN EQUATION IN HALF LENS ⋮ SCHWARZ PROBLEM IN LENS AND HALF LENS ⋮ Neumann function for a hyperbolic strip and a class of related plane domains ⋮ A Riemann-Hilbert boundary value problem in a triangle ⋮ Dirichlet problems in lens and lune ⋮ Schwarz boundary value problem in half lens and half lune ⋮ A Riemann-Hilbert boundary value problem in a bounded sector ⋮ Harmonic Green functions for the Almaty apple ⋮ Complex boundary value problems in a lens

Cites Work

• Schwarz-type problem of nonhomogeneous Cauchy-Riemann equation on a triangle
• Two basic boundary-value problems for the inhomogeneous Cauchy–Riemann equation in an infinite sector
• How to find harmonic Green functions in the plane
• Harmonic Dirichlet problem for some equilateral triangle

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