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Abstract <p> The boundedness of a biharmonic function constructed in an unboundedthree-dimensional domain is proved under the condition that this function and its normalderivative are bounded on the boundary of the domain.</p>

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On a Property of a Biharmonic Function in an Unbounded Domain in \(\mathbb {R}^3\)

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • Z. R. Ashurova,
  • N. Yu. Juraeva,
  • U. Yu. Juraeva,
  • F. U. Mallaeva

摘要

Abstract

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