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Liouville theorems on the upper half space

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 نشر من قبل Meijun Zhu
 تاريخ النشر 2019
  مجال البحث
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In this paper we shall establish some Liouville theorems for solutions bounded from below to certain linear elliptic equations on the upper half space. In particular, we show that for $a in (0, 1)$ constants are the only $C^1$ up to the boundary positive solutions to $div(x_n^a abla u)=0$ on the upper half space.

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