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Translation surfaces in the 3-dimensional Galilean space satisfying ΔII xi = λixiÇakmak, AliKaracan, Murat KemalKiziltug, SezaiYoon, Dae WonGalilean spaceLaplace operatorTranslation surfacesIn this paper, we classify translation surfaces in the three dimensional Galilean space G3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the second fundamental form of the surface. We also give explicit forms of these surfaces. © 2017 Korean Mathematical Society.Korean Mathematical Society2017Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/14885https://doi.org/10.4134/bkms.b1604421015-8634enBulletin of the Korean Mathematical Societyinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/14885