THE DIRICHLET PROBLEM FOR A PROPERLY ELLIPTIC EQUATION OF THE SIXTH ORDER IN THE UNIT DISC

Authors

A.H. BABAYAN National Polytechnic University of Armenia Author
S.H. ABELYAN National Polytechnic University of Armenia Author

Keywords:

Dirichlet problem, defect numbers, nontrivial solutions of homogeneous Dirichlet problem, properly elliptic equation

Abstract

The Dirichlet problem in a unit disc for a sixth order properly elliptic equation is considered. It is supposed that the characteristic equation has two different triple roots and one of the roots is an imaginary unit. It is proved that this problem is uniquely solvable.

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01.06.2026

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