An existence theorem for a class of nonlinear elliptic optimal control problems
Commentationes Mathematicae Universitatis Carolinae (1991)
- Volume: 32, Issue: 2, page 273-279
- ISSN: 0010-2628
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topPapageorgiou, Nikolaos S.. "An existence theorem for a class of nonlinear elliptic optimal control problems." Commentationes Mathematicae Universitatis Carolinae 32.2 (1991): 273-279. <http://eudml.org/doc/247263>.
@article{Papageorgiou1991,
abstract = {We establish the existence of an optimal ``state-control'' pair for an optimal control problem of Lagrange type, monitored by a nonlinear elliptic partial equation involving nonmonotone nonlinearities.},
author = {Papageorgiou, Nikolaos S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Sobolev embedding theorem; Novikov’s theorem; Aumann’s theorem; pseudomonotone operator; property ($M$); nonlinear elliptic equation; Novikov's theorem; Aumann's theorem; pseudomonotone operator; optimal control problems of Lagrange type; higher order nonlinear elliptic equations of divergence form; optimal ``state-control'' pairs},
language = {eng},
number = {2},
pages = {273-279},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An existence theorem for a class of nonlinear elliptic optimal control problems},
url = {http://eudml.org/doc/247263},
volume = {32},
year = {1991},
}
TY - JOUR
AU - Papageorgiou, Nikolaos S.
TI - An existence theorem for a class of nonlinear elliptic optimal control problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 2
SP - 273
EP - 279
AB - We establish the existence of an optimal ``state-control'' pair for an optimal control problem of Lagrange type, monitored by a nonlinear elliptic partial equation involving nonmonotone nonlinearities.
LA - eng
KW - Sobolev embedding theorem; Novikov’s theorem; Aumann’s theorem; pseudomonotone operator; property ($M$); nonlinear elliptic equation; Novikov's theorem; Aumann's theorem; pseudomonotone operator; optimal control problems of Lagrange type; higher order nonlinear elliptic equations of divergence form; optimal ``state-control'' pairs
UR - http://eudml.org/doc/247263
ER -
References
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