3 papers
math.AP2026
A nonlocal elliptic problem on a Heisenberg group
Debajyoti Choudhuri, Lamine Mbarki, Olimpio Hiroshi Miyagaki
We study an elliptic nonlocal problem driven by a source term which is a Radon measure. We prove the existence of a weak solution by a weak convergence method. In the process, we d…
math.DG2025
Conformally Invariant Dirac Equation with Non-Local Nonlinearity
Ali Maalaoui, Vittorio Martino, Lamine Mbarki
We study a conformally invariant equation involving the Dirac operator and a non-linearity of convolution type. This non-linearity is inspired from the conformal Einstein-Dirac pro…
math.DS2022
Subcohomology and a Livsic Theorem for Zooming Systems
Lamine Mbarki, Eduardo Santana
In the context of continuous zooming systems on a compact metric space , which include the non-uniformly expanding ones, possibly with the presence of a critical set…