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math.AP2024
Morrey-Lorentz estimates for Hodge-type systems
Banhirup Sengupta, Swarnendu Sil
We prove up to the boundary regularity estimates in Morrey-Lorentz spaces for weak solutions of the linear system of differential forms with regular anisotropic coefficients \begin…
math.AP2022
Nonlinear transport equations and quasiconformal maps
Albert Clop, Banhirup Sengupta
We prove existence of solutions to a nonlinear transport equation in the plane, for which the velocity field is obtained as the convolution of the classical Cauchy Kernel with the…
math.AP2021
Rotation bounds for Hölder continuous homeomorphisms with integrable distortion
Albert Clop, Lauri Hitruhin, Banhirup Sengupta
We obtain sharp rotation bounds for the subclass of homeomorphisms of finite distortion which have distortion function in , , and for wh…