Biharmonic Green function and biharmonic Neumann function in a sector

DOI10.1080/17476933.2010.551199zbMath1266.30026OpenAlexW1986396960MaRDI QIDQ4908690

Ying Wang, Liuqing Ye

Publication date: 6 March 2013

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

Full work available at URL: https://doi.org/10.1080/17476933.2010.551199

zbMATH Keywords

Dirichlet problemNeumann problembiharmonic Green functionbiharmonic Neumann function

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Initial value problems for systems of linear higher-order PDEs (35G40)

Related Items (13)

Representation of the Green's function of the exterior Neumann problem for the Laplace operator ⋮ Representation of Green’s function of the Neumann problem for a multi-dimensional ball ⋮ Green's functions of some boundary value problems for the biharmonic equation ⋮ Representation of the Green's function of the Dirichlet problem for the polyharmonic equation in the ball ⋮ The Green function of the Dirichlet problem for the triharmonic equation in the ball ⋮ On the solvability of the main boundary value problems for a nonlocal Poisson equation ⋮ Polyharmonic boundary value problem in a sector ⋮ Green's functions of the Navier and Riquier-Neumann problems for the biharmonic equation in the ball ⋮ Green's function of Dirichlet problem for biharmonic equation in the ball ⋮ On the Green’s Function for the Third Boundary Value Problem ⋮ The Green function of the Dirichlet problem for the biharmonic equation in a ball ⋮ ON REPRESENTATION OF GREEN’S FUNCTION OF THE DIRICHLET PROBLEM FOR BIHARMONIC EQUATION IN A BALL ⋮ On Green's function of the Robin problem for the Poisson equation

Cites Work

• A Dirichlet problem for polyharmonic functions
• Harmonic boundary value problems in half disc and half ring
• Boundary value problems in a fan-shaped domain
• Boundary value problems to first-order complex partial differential equations in a ring domain
• Iterated Neumann problem for the higher order Poisson equation
• Unnamed Item

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