Wu, Yipeng; Yao, Kui; Su, Weiyi Dirichlet problem of Poisson equations on \(S{G^4}\). (Chinese. English summary) Zbl 1438.28013 Chin. Ann. Math., Ser. A 40, No. 1, 27-34 (2019). Summary: This paper studies the fractal set \(S{G^4}\), gives the definitions of Laplacians on \(S{G^4}\), then expresses the Green’s function explicitly, solves Dirichlet problem of Poisson equations. Cited in 3 Documents MSC: 28A80 Fractals 34B27 Green’s functions for ordinary differential equations 34B45 Boundary value problems on graphs and networks for ordinary differential equations Keywords:Poisson equations; Green’s function; Dirichlet problem PDFBibTeX XMLCite \textit{Y. Wu} et al., Chin. Ann. Math., Ser. A 40, No. 1, 27--34 (2019; Zbl 1438.28013) Full Text: DOI