TY - GEN A1 - Meyer, Christian A1 - Rehberg, Joachim A1 - Schiela, Anton T1 - Hölder continuity and optimal control for nonsmooth elliptic problems N2 - The well known De Giorgi result on Hölder continuity for solutions of the Dirichlet problem is re-established for mixed boundary value problems, provided that the underlying domain is a Lipschitz domain and the border between the Dirichlet and the Neumann boundary part satisfies a very general geometric condition. Implications of this result for optimal control theory are presented. Y1 - 2009 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/570 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-5707 ER -