Presentation of solution of the Dirichlet problem for biharmonic equation in the unit ball through the Green function

DOI10.47475/2500-0101-2020-15401zbMath1479.35319OpenAlexW3114292902MaRDI QIDQ5153871

Valery V. Karachik

Publication date: 1 October 2021

Published in: Челябинский физико-математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/chfmj196

zbMATH Keywords

Dirichlet problembiharmonic equationGreen function

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Higher-order elliptic equations (35J30)

Cites Work

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• Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball
• The Green function of the Dirichlet problem for the triharmonic equation in the ball
• The Green function of the Dirichlet problem for the biharmonic equation in a ball
• On Green's function of the Robin problem for the Poisson equation
• Green function representation for the Dirichlet problem of the polyharmonic equation in a sphere
• On one set of orthogonal harmonic polynomials
• Green's function of Dirichlet problem for biharmonic equation in the ball

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