Symmetric solutions for a partial differential elliptic equation that arises in stochastic production planning with production constraints

2018/01/08 by Dragos-Patru Covei, Dragoş-Pătru Covei, Covei, Dragos-Patru
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Stochastic processes and financial applications #math.OC

paper · pdf · doi:10.48550/arxiv.1801.02425

arxiv created 2018/01/08 · arxiv updated 2018/01/09

Abstract

In this article we consider the question of the existence of positive symmetric solutions to the problems of the following type Δu=a( \vert x\vert ) h( u) +b( \vert x\vert ) g( u) for x∈ ℝ^N, which are called entire large solutions. Here N≥ 3, and we assume that a and b are nonnegative continuous spherically symmetric functions on ℝ% ^N . We extend results previously obtained for special cases of h and % g and we will describe a real-world model in which such problems may arise.

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