Abstract
In this paper, we construct a harmonic Green function by reflection method in a general ring sector with angle \(\theta=\frac{\pi}{\alpha}\) and \(\alpha\geq \frac{1}{2}\), then the related harmonic Dirichlet problem for the Poisson equation is discussed explicitly.
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Mathematics Subject Classification (2010)
This work was completed with the support of Tian Yuan Foundation (#11326087) and NNSF (#11171260) of China.
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Wang, Y., Du, J. (2015). Harmonic Dirichlet Problem in a Ring Sector. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_10
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DOI: https://doi.org/10.1007/978-3-319-12577-0_10
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12576-3
Online ISBN: 978-3-319-12577-0
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