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math.AP2019
An elliptic partial differential equation and its application
Dragos-Patru Covei, Traian A. Pirvu
This paper deals with the following elliptic equation \begin{equation*} -2σ^{2}Δz+\left\| \nabla z\right\| ^{2}+4αz=4\left\| x\right\| ^{2}\text{ for }x\in \mathbb{R}^{N}\text{, (}…
math.AP2019★ 1 cited
An elliptic partial differential equations system and its application
Dragos-Patru Covei, Traian A. Pirvu
This paper deals with the existence of solutions for an elliptic system of partial differential equations. The solution method is based on the sub- and super-solutions approach. An…