A quasilinear elliptic equation in ℝN-Reference-Cited by-同舟云学术

A quasilinear elliptic equation in ℝN

Published:1996 Issue:5 Volume:126 Page:911-921
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Alvarez O.

Abstract

A quasilinear elliptic equation in ℝN of Hamilton-Jacobi-Bellman type is studied. An optimal criterion for uniqueness which involves only a lower bound on the functions is given. The unique solution in this class is identified as the value function of the associated stochastic control problem.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

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4. Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application

5. Elliptic Partial Differential Equations of Second Order

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