Green function representation in the Dirichlet problem for polyharmonic equations in a ball

DOI10.1134/S1064562408040169zbMath1220.31011OpenAlexW1975865043MaRDI QIDQ542217

Yong-Cai Geng, Sumit K. Garg

Publication date: 8 June 2011

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408040169

zbMATH Keywords

Dirichlet problempolyharmonic functions

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (14)

Representation of the Green's function of the exterior Neumann problem for the Laplace operator ⋮ On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation ⋮ On correct restrictions of bi-Laplace operator and their properties ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Representation of Green’s function of the Neumann problem for a multi-dimensional ball ⋮ Dirichlet-type problems for n-Poisson equation in Clifford analysis ⋮ On the solvability of the main boundary value problems for a nonlocal Poisson equation ⋮ On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation ⋮ Representation of solution of the Dirichlet problem for the Laplace equation in the form of a generalized convolution ⋮ 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 ⋮ Some Riemann boundary value problems in Clifford analysis ⋮ 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

• Iterated Neumann problem for the higher order Poisson equation
• Unnamed Item
• Unnamed Item

This page was built for publication: Green function representation in the Dirichlet problem for polyharmonic equations in a ball