3 papers
Optimal transport of signed fractal measures with dimensional distortion: a variational characterization
Bwo'nyahre Baidi Barthelemy, Kouakep Tchaptchie Yannick, Houpa Danga Duplex Elvis
We extend the optimal transport theory for signed measures supported on Ahlfors-regular fractal sets (Bwo'Nyahre et al., 2026) to allow a controlled dimensional distortion between…
Regularity of the positional penalization function in inter-sign optimal transport on real measures
Bwo'nyahre Baidi Barthelemy, Kouakep Tchaptchie Yannick, Houpa Danga Duplex Elvis
We study the Monge--Kantorovich optimal transport problem between two signed measures~ and~ on convex compact subsets of~, with a positional penalization func…
Semi-global solutions to the Goursat problem for second-order hyper-quasilinear hyperbolic systems with lineary dependent principal coefficients and applications to the vacuum Einstein equations
Louokdom Tamto Paul Giscard, Houpa Danga Duplex Elvis, Kouakep Tchaptchie Yannick
In this work, we significantly extend the results of D. Houpa, 2006 on the Goursat problem for second-order semi-linear hyperbolic systems to the broader framwork of second-order h…