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math.AP2026
Conormal problem for a kind of nonlinear elliptic equations
A. F. Buscetto, R. Rescigno, L. G. Softova +1
We study the global boundedness of weak solutions to a class of nonlinear elliptic equations in bounded Lipschitz domains, subject to conormal boundary conditions. Using techniques…
math.AP2026
Nonlocal problems for Laplace equation in Bochner spaces
Bilal Bilalov, Sabina Sadigova, Pia Salerno +1
We study the Laplace equation posed in the unbounded rectangular domain with , and subject to nonlocal boundary conditions on in th…
math.AP2026
Interior a priori estimate for higher order elliptic systems in Orlicz spaces
Amiran Gogatishvili, Pia Salerno, Lubomira Softova
We investigate singular integral operators with variable Calderón--Zygmund kernels and their commutators with functions on Orlicz spaces. After revisiting the classical …