Scholarlink

Abstract <p>In this work, we study the Dirichlet boundary value problem for the inhomogeneous Cauchy-Riemann equation and its higher-order analogues in a half-lens domain. The domain is formed by the intersection of two equal-radius circles in the upper half-plane. We establish solvability conditions and derive explicit integral representations for the solutions.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Integral Representations of Solutions to Higher-Order Dirichlet Problems in a Half-Lens Domain

  • 期刊论文

  • 发表日期：

    2025年9月1日

查看全文
  • B. Karaca

摘要

Abstract

In this work, we study the Dirichlet boundary value problem for the inhomogeneous Cauchy-Riemann equation and its higher-order analogues in a half-lens domain. The domain is formed by the intersection of two equal-radius circles in the upper half-plane. We establish solvability conditions and derive explicit integral representations for the solutions.