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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.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…