The Green function of the Dirichlet problem for the triharmonic equation in the ball

DOI10.1134/S0001434620010101zbMath1442.35084OpenAlexW3010112744MaRDI QIDQ2191940

Valery V. Karachik

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620010101

zbMATH Keywords

Dirichlet problemGreen functiontriharmonic equation

Mathematics Subject Classification ID

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

Related Items (5)

Integral representations in the complex plane and iterated boundary value problems ⋮ 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 ⋮ 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

• On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation
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• Representation of the Green's function of the exterior Neumann problem for the Laplace operator
• On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
• Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball
• Representation of Green’s function of the Neumann problem for a multi-dimensional ball
• Green function representation for the Dirichlet problem of the polyharmonic equation in a sphere
• On some special polynomials
• Biharmonic Green function and biharmonic Neumann function in a sector
• Modified harmonic Robin function
• On the Green’s Function for the Third Boundary Value Problem
• Tri-harmonic boundary value problems in a sector
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