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measure optimization 1optimal control 1optimal transport 1second-order optimality 1weak-star subderivatives 1

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math.AP2025

Subdifferentials and penalty approximations of the obstacle problem

Amal Alphonse, Gerd Wachsmuth

We consider a framework for approximating the obstacle problem through a penalty approach by nonlinear PDEs. By using tools from capacity theory, we show that derivatives of the so…