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An elliptic partial differential equation and its...
Journal article

An elliptic partial differential equation and its application

Abstract

This paper deals with the following elliptic equation − 2 σ 2 Δ z + ∇ z 2 + 4 α z = 4 x 2 for x ∈ R N , ( 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.

Authors

Covei D-P; Pirvu TA

Journal

Applied Mathematics Letters, Vol. 101, ,

Publisher

Elsevier

Publication Date

March 1, 2020

DOI

10.1016/j.aml.2019.106059

ISSN

0893-9659

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