97 citations · 221 across the 19 of their papers we have counts for
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On Gaussian curvature equations in with prescribed non-positive curvature
Huyuan Chen, Feng Zhou, Dong Ye
The purpose of this paper is to study the solutions of with . We introduce the following quantity: $$α_p(K)=\sup\left…
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…
Liouville theorems for stable at infinity solutions of Lane-Emden system
Foued Mtiri, Dong Ye
We consider the Lane-Emden system , in , and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for…
Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space
Quôc Anh Ngô, Van Hoang Nguyen, Quoc Hung Phan +1
In this paper, we are interested in entire, non-trivial, non-negative solutions and/or entire, positive solutions to the simplest models of polyharmonic equations with power-type n…