Representation of the Green's function of the Dirichlet problem for the polyharmonic equation in the ball
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Publication:6050089
DOI10.1134/s0012266123080050zbMath1525.35100OpenAlexW4387402432MaRDI QIDQ6050089
Publication date: 12 October 2023
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266123080050
Boundary value problems for higher-order elliptic equations (35J40) Fundamental solutions to PDEs (35A08) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)
Cites Work
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- 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
- Riquier-Neumann problem for the polyharmonic equation in a ball
- On the Dirichlet-Riquier problem for biharmonic equations
- Green's functions of the Navier and Riquier-Neumann problems for the biharmonic equation in the ball
- Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries
- On the Fredholm property and index of the generalized Neumann problem
- 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
- Polyharmonic Dirichlet problems
- On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
- Neumann function for a hyperbolic strip and a class of related plane domains
- Green function representation for the Dirichlet problem of the polyharmonic equation in a sphere
- A survey on boundary conditions for the biharmonic
- Biharmonic Green function and biharmonic Neumann function in a sector
- Modified harmonic Robin function
- Harmonic Green and Neumann functions for domains bounded by two intersecting circular arcs
- Green's functions for unsymmetric composite laminates with inclusions
- Green's function of Dirichlet problem for biharmonic equation in the ball
- Remark on Robin problem for Poisson equation
- A Neumann-type problem for the biharmonic equation
- Tri-harmonic boundary value problems in a sector
- Harmonic Green functions for the Almaty apple
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