A QUASI-LINEAR ELLIPTIC EQUATION IN R(N)

Authors
ALVAREZ O
Citation
O. Alvarez, A QUASI-LINEAR ELLIPTIC EQUATION IN R(N), Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 126, 1996, pp. 911-921
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
126
Year of publication
1996
Part
5
Pages
911 - 921
Database
ISI
SICI code
0308-2105(1996)126:<911:AQEEIR>2.0.ZU;2-H
Abstract
A quasilinear elliptic equation in R(N) of Hamilton-Jacobi-Bellman typ e is studied. An optimal criterion for uniqueness which involves only a lower bound on the functions is given. The unique solution in this c lass is identified as the value function of the associated stochastic control problem.