On existence of a boundary value of a biharmonic function in a ball

DOI10.1134/S2070046612010050zbMath1283.35045MaRDI QIDQ1760306

V. P. Mikhailov

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

ballbiharmonic functionmean square limit at the boundary

Mathematics Subject Classification ID

Boundary values of solutions to elliptic equations and elliptic systems (35J67) Higher-order elliptic equations (35J30) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Cites Work

• A sufficient condition for the existence of limit values of solutions of an elliptic equation on the boundary
• ON THE BOUNDARY VALUES OF SOLUTIONS OF ELLIPTIC EQUATIONS IN DOMAINS WITH A SMOOTH BOUNDARY
• Existence of boundary values for metaharmonic functions
• Theorems on Fourier Series and Power Series (II)^†
• Theorems on Fourier Series and Power Series(III)

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