Green's function of Dirichlet problem for biharmonic equation in the ball

DOI10.1080/17476933.2018.1536702zbMath1421.31015OpenAlexW2899379173MaRDI QIDQ5227722

Valery V. Karachik

Publication date: 7 August 2019

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

Full work available at URL: https://doi.org/10.1080/17476933.2018.1536702

zbMATH Keywords

expansionbiharmonic equationGreen functionDirichlet boundary value problemhomogeneous harmonic polynomials

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Series solutions to PDEs (35C10) Green's functions for elliptic equations (35J08)

Related Items (7)

A Mathematical Analysis Method for Bending Problem of Clamped Shallow Spherical Shell on Elastic Foundation ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Green's functions of some boundary value problems for the biharmonic equation ⋮ NEUMANN BOUNDARY CONDITION FOR A NONLOCAL BIHARMONIC EQUATION ⋮ Representation of the Green's function of the Dirichlet problem for the polyharmonic equation in the ball ⋮ Presentation of solution of the Dirichlet problem for biharmonic equation in the unit ball through the Green function ⋮ Green's functions of the Navier and Riquier-Neumann problems for the biharmonic equation in the ball

Cites Work

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