TY - GEN A1 - Casas, Eduardo A1 - Tröltzsch, Fredi T1 - Optimality conditions for a class of optimal control problems with quasilinear elliptic equations N2 - A class of optimal control problems for quasilinear elliptic equations is considered, where the coefficients of the elliptic differential operator depend on the state function. First- and second-order optimality conditions are discussed for an associated control-constrained optimal control problem. In particular, the Pontryagin maximum principle and second-order sufficient optimality conditions are derived. One of the main difficulties is the non-monotone character of the state equation. Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/482 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4828 ER -