TY - GEN A1 - Tröltzsch, Fredi T1 - Existence of regular Lagrange multipliers for nonlinear elliptic optimal control problem with pointwise control-state constraints N2 - A class of optimal control problems for a semilinear elliptic equations with mixed control-state constraints is considered. The existence of bounded and measurable Lagrange multipliers is proven. As a particular application, the Lavrentiev type regularization of pointwise state constraints is discussed. Here, the existence of associated regular multipliers is shown, too. Y1 - 2005 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/226 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-2266 ER -