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math.DS2018
On a remarkable example of F. Almgren and H. Federer in the global theory of minimizing geodesics
Xifeng Su, Rafael de la Llave
We present an exposition of a remarkable example attributed to Frederick Almgren Jr. in \cite[Section 5.11]{Federer74} to illustrate the need of certain definitions in the calculus…
math.AP2018
Convergence of one-dimensional stationary mean field games with vanishing potential
Yiru Cai, Haobo Qi, Yi Tan +1
We consider the one-dimensional stationary first-order mean-field game (MFG) system with the coupling between the Hamilton-Jacobi equation and the transport equation. In both cases…