On a Dirichlet Problem for Properly Elliptic Equation in the Space of Continuous Functions

被引：0

作者：

A. H. Babayan ^{[1
]}

机构：

[1] National Polytechnic University of Armenia, Yerevan

[2] Regional Mathematical Center of Southern Federal University, Rostov-on-Don

来源：

Lobachevskii Journal of Mathematics | 2024年 / 45卷 / 12期

关键词：

defect numbers; Dirichlet problem; nontrivial solutions of the homogeneous Dirichlet problem; properly elliptic equation;

D O I：

10.1134/S1995080224607379

中图分类号：

学科分类号：

摘要：

Abstract: The Dirichlet problem for order properly elliptic equation with constant coefficients in the unit disc is considered. We seek the solution of the problem in the class of functions times continuously differentiable in the disc and continuous up to the boundary with the derivatives of order not more than. The necessary and sufficient conditions for solvability of this problem are obtained and if these conditions hold the solution is determined in explicit form. © Pleiades Publishing, Ltd. 2024.

引用

页码：6011 / 6026

页数：15

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