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math.AP2021
Variational approach to the existence of solutions for non-instantaneous impulsive differential equations with perturbation
Wangjin Yao, Liping Dong, Jing Zeng
In this paper, we study the existence of solutions for second-order non-instantaneous impulsive differential equations with a perturbation term. By variational approach, we obtain…
math.AP2015
Liouville type theorems for stable solutions of the weighted elliptic system
Liang-Gen Hu, Jing Zeng
We examine the weighted elliptic system \begin{equation*} \begin{cases} -Δu=(1+|x|^2)^{\fracα{2}} v,\\ -Δv=(1+|x|^2)^{\fracα{2}} u^p, \end{cases} \quad \mbox{in}\;\ \mathbb{R}^N, \…
math.AP2014
Infinite solutions having a prescribed number of nodes for a p-Laplacian problem
Jing Zeng
In this paper, we are concern with the multiplicity of solutions for a p-Laplacian problem. A weaker super-quadratic assumptions is required on the nonlinearity. Under the weaker c…