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.AP2026
A topological approach to an elliptic problem
Debajyoti Choudhuri, Vikas Jaiswal
In this paper, we study an elliptic problem involving a -Laplacian operator and a potential well which is driven by a critical and singular nonlinearity. Under the limiting case…
math.AP2026
Neumann problem with a discontinuous nonlinearity
Debajyoti Choudhuri, Dušan D. Repovš, Kamel Saoudi
This study is devoted to proving the existence of weak solutions for a nonlinear elliptic problem with Neumann-type boundary data. The problem is driven by a discontinuous power no…