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    Liouville type theorem for an anisotropic singular model

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    In this article, we establish a Liouville type theorem for the anisotropic singular problem \sum_{i=1}^{N}\frac{\partial}{\partial x_i}(|\frac{\partial u}{\partial x_i}|^{p_i-2}\frac{\partial u}{\partial x_i})=e^\frac{1}{u}\;\;\mbox{in}\;\;\mathbb{R}^N concerning positive W1,pi(RN)W^{1,p_i}(\mathbb{R}^N) stable solution, provided Nβ‰₯1N\geq 1 and pi>2p_i>2 for all i=1,2,…Ni=1,2,\dots{N}.Comment: 7 page
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