3 papers
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 functi…
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…
Solution of second-order hyperbolic quasilinear systems with spatio-characteristic initial data in weighted Sobolev-type spaces under finite differentiability assumptions on the data
Louokdom Tamto Paul Giscard, Duplex Elvis Houpa Danga, Kouakep Tchaptchie Yannick
The aim of this work is to establish an existence and uniqueness solution for spatiocharacteristic second-order quasilinear hyperbolic problems in Sobolev type spaces with weights…