Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation
From MaRDI portal
Publication:822211
DOI10.1134/S0965542521040059zbMath1473.35188OpenAlexW3201348408MaRDI QIDQ822211
Publication date: 21 September 2021
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542521040059
Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary value problem with normal derivatives for a higher-order elliptic equation on the plane
- A problem for the polyharmonic equation in the sphere
- On some special polynomials and functions
- Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball
- 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 Fredholm property and index of the generalized Neumann problem
- Class of Neumann-type problems for the polyharmonic equation in a ball
- On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball
- On the arithmetic triangle arising from the solvability conditions for the Neumann problem
- Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation
- Generalized third boundary value problem for the biharmonic equation
- Integral identities on a sphere for normal derivatives of polyharmonic functions
- On the mean value property for polyharmonic functions in the ball
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- On some special polynomials
- A Neumann-type problem for the biharmonic equation
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
This page was built for publication: Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation
