Tri-harmonic boundary value problems in a sector

DOI10.1080/17476933.2012.759566zbMath1295.31012OpenAlexW2007890216MaRDI QIDQ5418593

Ying Wang

Publication date: 26 May 2014

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

Full work available at URL: https://doi.org/10.1080/17476933.2012.759566

zbMATH Keywords

boundary value problemsintegral representationspolyharmonic functionsGreen function in sectorial domainstri-harmonic functions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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 ⋮ Neumann boundary value problem for the Beltrami equation in a ring domain ⋮ On the solvability of the main boundary value problems for a nonlocal Poisson equation ⋮ 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

• Schwarz-type problem of nonhomogeneous Cauchy-Riemann equation on a triangle
• A Dirichlet problem for polyharmonic functions
• Harmonic boundary value problems in half disc and half ring
• Boundary value problems in a fan-shaped domain
• Analytical Methods for a Singular Perturbation Problem in a Sector
• Schwarz-type boundary value problems for the polyanalytic equation in the half unit disc
• Iterated Neumann problem for the higher order Poisson equation

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