Abstract
This paper deals with the following elliptic equation −2σ2Δz+∇z2+4αz=4x2forx∈RN, (N≥1),where α>0, and σ>0 are some real constants. The solution method is based on the sub- and super-solutions approach. The case N>1 seemed not considered before. This equation models a stochastic production planning problem.
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