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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
Existence of solutions for elliptic problems involving the -Laplacian operator and a discontinuous superlinear nonlinearity
Marcos A. V. Costa, Olímpio H. Miyagaki, Marcos T. O. Pimenta
In this paper, we study a class of quasilinear elliptic problems involving the Laplacian operator and a discontinuous superlinear nonlinearity governed by the Heaviside fun…