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math.AP2018★ 10 cited
Existence and nonexistence results for a weighted elliptic equation in exterior domains
Zongming Guo, Xia Huang, Dong Ye
We consider positive solution to the weighted elliptic problem \begin{equation*} \left \{ \begin{array}{ll} -{\rm div} (|x|^θ\nabla u)=|x|^\ell u^p \;\;\; \mbox{in $\mathbb{R}^N \b…
math.AP2018
Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential
Huyuan Chen, Xia Huang, Feng Zhou
We are interested in studying positive solutions of Lane-Emden equation where is a nonhomogeneous potential sati…