SOLVABILITY CONDITIONS OF THE N2 NEUMANN-TYPE PROBLEM FOR POLYHARMONIC EQUATION IN A BALL

DOI10.14529/MMPH200202zbMath1458.35155OpenAlexW3045425989MaRDI QIDQ5144146

Valery V. Karachik

Publication date: 15 January 2021

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm444

zbMATH Keywords

solvability conditionspolyharmonic equationNeumann-type problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

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• 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
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• Class of Neumann-type problems for the polyharmonic equation in a ball
• On the arithmetic triangle arising from the solvability conditions for the Neumann problem
• 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
• On solvability of some boundary value problems for a biharmonic equation with periodic conditions
• A Neumann-type problem for the biharmonic equation

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