Article

On a Property of a Biharmonic Function in an UnboundedDomain in $$\mathbb{R}^3$$

Z. R. AshurovaSamarkand State University named after Sharof Rashidov, Samarkand, 140104, UzbekistanN. Yu. JuraevaInternational Islamic Academy, Tahskent, UzbekistanU. Yu. JuraevaSamarkand State University named after Sharof Rashidov, Samarkand, 140104, UzbekistanF. U. MallaevaSamarkand State University named after Sharof Rashidov, Samarkand, 140104, Uzbekistan

Differential Equationsjournal2025en

ABI

Abstract

The boundedness of a biharmonic function constructed in an unbounded three-dimensional domain is proved under the condition that this function and its normal derivative are bounded on the boundary of the domain.

Topics

Analytic and geometric function theory Holomorphic and Operator Theory Algebraic and Geometric Analysis

Identifiers

DOI: 10.1134/s001226612508004x

Citations and references

Cited by 02 references

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