elliptic equations 1function spaces 1Heisenberg group 1measure data 1nonlocal operators 1weak solutions 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
A nonlocal elliptic problem on a Heisenberg group
Debajyoti Choudhuri, Lamine Mbarki, Olimpio Hiroshi Miyagaki
The paper investigates a nonlocal elliptic equation on the Heisenberg group with a source term given by a Radon measure, proving existence of weak solutions using a weak convergenc…
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.DS2025
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…