Resumen de Biharmonic Green function of a ring domain

Tatyana S. Vaitekhovich

• A biharmonic Green function of a circular ring domain R = { z ∈ C : 0 < r < | z | < 1 } is found in the form 26741 \widehat{G}_{2}(z,\zeta)=|\zeta-z|^{2}G_{1}(z,\zeta)+\widehat{h}_{2}(z,\zeta), 26741 where G1(z,ζ) is the harmonic Green function of the ring R, and hˆ2(z,ζ) is a specially constructed biharmonic function.