We show existence and uniqueness of a cost allocation mechanism, satisfying standard axioms, on two classes of cost functions with major nondifferentiabilities. The first class consists of convex functions which exhibit nondecreasing marginal casts to scale, and the second of piecewise linear functions. (C) 2001 Elsevier Science B.V. All rights reserved.
Haimanko, O. (2001). Cost sharing: the nondifferentiable case. Journal of Mathematical Economics, 35(3), 445-462. https://doi.org/10.1016/S0304-4068(01)00052-0 (Original work published 2001)