Integral Representations of Solutions to Higher-Order Dirichlet Problems in a Half-Lens Domain
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.
Authors
- Bahriye Karaca (ORCID: https://orcid.org/0000-0003-4463-8180)
Institutions
- Izmir University (TR)
- Bakırçay Üniversitesi
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2025-09-01
- DOI
- https://doi.org/10.1134/s1995080225610008
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00