Some recent work on dynamic incentive constraints poses the question of existence and regularity of Lagrange multipliers in optimization problems in infinite dimension with infinitely many-side constraints, which may not be concave. We provide sufficient conditions for Lagrange multipliers to exist and be represented by a sequence. (C) 1998 Elsevier Science S.A.
Rustichini, A. (1998). Lagrange multipliers in incentive-constrained problems. Journal of Mathematical Economics, 29(4), 365-380. https://doi.org/10.1016/S0304-4068(97)00030-X (Original work published 1998)