@article{10902/1620,
year = {2010},
url = {http://hdl.handle.net/10902/1620},
abstract = {Optimal control problems for semilinear elliptic equations with control constraints and pointwise state constraints are studied. Several theoretical results are derived, which are necessary to carry out a numerical analysis for this class of control problems. In particular, sufficient second-order optimality conditions, some new regularity results on optimal controls and a sufficient condition for the uniqueness of the Lagrange multiplier associated with the state constraints are presented.},
organization = {The first author was supported by the Spanish Ministry of Science and Innovation under projects MTM2008-04206 and
“Ingenio Mathematica (i-MATH)” CSD2006-00032 (Consolider Ingenio 2010)},
publisher = {EDP Sciences},
publisher = {ESAIM: Control, Optimisation and Calculus of Variations, 2010, 16(3), 581-600.},
title = {Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems},
author = {Casas Rentería, Eduardo and Tröltzsch, Fredi},
}