Dirichlet problems in lens and lune

DOI10.1007/s40840-017-0478-8zbMath1388.30046OpenAlexW2770561669MaRDI QIDQ1746728

Mohamed S. Akel, Saiful Rahman Mondal

Publication date: 25 April 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0478-8

zbMATH Keywords

Dirichlet problemCauchy-Riemann equationBeltrami equationBitsadze-Laplace equation

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary value problems in the complex plane (30E25) Boundary value problems for first-order elliptic systems (35J56) Boundary value problems for second-order elliptic systems (35J57)

Related Items (5)

COMPLEX BOUNDARY VALUE PROBLEMS FOR THE CAUCHY–RIEMANN OPERATOR ON A TRIANGLE ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Neumann boundary value problem for the Beltrami equation in a ring domain ⋮ Neumann boundary value problems in fan-shaped domains ⋮ Complex boundary value problems in a lens

Cites Work

• Two boundary-value problems for the Cauchy-Riemann equation in a sector
• A Riemann-Hilbert boundary value problem in a triangle
• Exterior wedge diffraction problems with Dirichlet, Neumann and impedance boundary conditions
• Neumann problem for generalized \(n\)-Poisson equation
• Harmonic boundary value problems in half disc and half ring
• Constructive methods for elliptic equations
• A Robin boundary value problem in the upper half plane for the Bitsadze equation
• Two basic boundary-value problems for the inhomogeneous Cauchy–Riemann equation in an infinite sector
• Green function for a hyperbolic strip and a class of related plane domains
• Analysis and Regularization of Problems in Diffuse Optical Tomography
• Harmonic Dirichlet problem for some equilateral triangle
• Neumann problem for the Beltrami operator and for second order operators with Poisson/Bitsadze operator as main part
• Remark on Hilbert's boundary value problem for Beltrami systems
• Some boundary value problems for a beltrami equation
• Modified harmonic Robin function
• A Riemann-Hilbert boundary value problem in a bounded sector
• Riemann–Hilbert Problems for Monogenic Functions on Upper Half Ball of $${\mathbb {R}}^4$$ R 4
• Diffraction from Polygonal-conical Screens, an Operator Approach
• Schwarz problem in lens and lune
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Dirichlet problems in lens and lune