existence theory 1generalized nash equilibrium 1hyperbolic pde 1optimality conditions 1state constraints 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.OC2026
State constrained convex Nash equilibrium problems coupled with linear hyperbolic PDEs
Marcelo Bongarti, Michael Hintermüller
The paper proves the existence of equilibria for convex generalized Nash equilibrium problems with state constraints that are coupled to linear hyperbolic PDEs, and derives first‑o…
math.OC2026
Structure versus regularity of set-valued maps in convex generalized Nash equilibrium problems in Banach spaces
Marcelo Bongarti, Michael Hintermüller
A generalized Nash equilibrium problem (GNEP) in Banach space consists of optimal control problems with couplings in both the objective functions and, most importantly, in th…
math.AP2025
Optimal Control of a Reaction-Diffusion Epidemic Model with Noncompliance
Marcelo Bongarti, Christian Parkinson, Weinan Wang
In this paper, we consider an optimal distributed control problem for a reaction-diffusion-based SIR epidemic model with human behavioral effects. We develop a model wherein non-ph…