Kun Huang

Wasserstein Stability and Free Boundaries in Measure-Parameterized Bilevel Obstacle Problems

We study obstacle-constrained variational problems whose reduced energies depend on a probability law through a lower-level optimizer. Uniform strong convexity yields a single-valued Lipschitz follower response, while convexity and a Poincare inequality give a unique upper-level policy. A type-Lipschitz reduced margina...