On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball

DOI10.1186/1687-2770-2013-162zbMath1295.35215OpenAlexW1996968143WikidataQ59299653 ScholiaQ59299653MaRDI QIDQ2251327

Ravshan Ashurov, Batirkhan Kh. Turmetov

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-162

zbMATH Keywords

Green functionNeumann problemnecessary and sufficient conditions for solvabilitynon-homogeneous polyharmonic equationAlmansi formula

Mathematics Subject Classification ID

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) Higher-order elliptic equations (35J30)

Related Items (11)

On the solvability of some boundary value problems for the inhomogeneous polyharmonic equation with boundary operators of the Hadamard type ⋮ Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation ⋮ Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball ⋮ On the Fredholm property and index of the generalized Neumann problem ⋮ Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball ⋮ Neumann type problems for the polyharmonic equation in ball ⋮ Class of Neumann-type problems for the polyharmonic equation in a ball ⋮ On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator ⋮ Green function for analogue of Robin problem for polyharmonic equation ⋮ On Solvability of Some Boundary Value Problems with Involution for the Biharmonic Equation ⋮ On solvability of some boundary value problems for a biharmonic equation with periodic conditions

Cites Work

• On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation
• On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order
• Construction of polynomial solutions to some boundary value problems for Poisson’s equation
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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