Geodesic
Thinness and non-tangential limit associated to coupled PDE
Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 1, pp. 41-51.

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In this paper, we study the reduit, the thinness and the non-tangential limit associated to a harmonic structure given by coupled partial differential equations. In particular, we obtain such results for biharmonic equation (i.e. $\triangle^{2}\varphi= 0$) and equations of $\triangle^{2}\varphi= \varphi$ type.
Classification : 31B10, 31B30, 31C35, 60J50
Keywords: thinness; non-tangential limit; Martin boundary; biharmonic functions; coupled partial differential equations 
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Benyaiche, Allami; Ghiate, Salma. Thinness and non-tangential limit associated to coupled PDE. Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 1, pp. 41-51. http://geodesic.mathdoc.fr/item/CMUC_2013__54_1_a3/