Geodesic
Radial limits of positive solutions to the Darboux equation
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 36, Tome 355 (2008), pp. 163-172 Cet article a éte moissonné depuis la source Math-Net.Ru

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Assume that a positive function $u$ satisfies the Darboux equation $$ \Delta u=\frac{(\alpha-1)}y\frac{\partial u}{\partial y},\qquad\alpha>0, $$ in the upper half-space $\mathbb R_+^{d+1}$. We investigate Bloch type conditions that guarantee the following property: for any $a\in(0,+\infty)$, the set where the radial limit of $u$ is equal to $a$, is large in the sense of the Hausdorff dimension. Bibl. – 6 titles. 
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     author = {E. S. Dubtsov},
     title = {Radial limits of positive solutions to the {Darboux} equation},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_355_a5/}
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E. S. Dubtsov. Radial limits of positive solutions to the Darboux equation. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 36, Tome 355 (2008), pp. 163-172. http://geodesic.mathdoc.fr/item/ZNSL_2008_355_a5/

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