Green function for analogue of Robin problem for polyharmonic equation

DOI10.13108/2019-11-3-78zbMath1463.35241OpenAlexW3019194166MaRDI QIDQ5137841

Batirkhan Kh. Turmetov

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa481

zbMATH Keywords

Dirichlet problemintegral representationboundary value problemGreen functionpolyharmonic equationanalogue of Robin problem

Mathematics Subject Classification ID

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

Cites Work

• On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball
• Solvability of some boundary-value problems for polyharmonic equation with Hadamard-Marchaud boundary operator
• On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
• Dirichlet problem for inhomogeneous polyharmonic equation
• Green function representation for the Dirichlet problem of the polyharmonic equation in a sphere
• On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator
• On the Green’s Function for the Third Boundary Value Problem
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