14 citations · 36 across the 21 of their papers we have counts for
25 papers
Regularity for Minimizers of non Autonomous Singular Functionals with Anisotropic Growth
Albert Clop, Antonia Passarelli di Napoli, Stefania Russo
We establish the higher differentiability of the local minimizers to a class of non autonomous convex integral functionals satisfying anisotropic subquadratic growth conditions, th…
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…
Higher differentiability results for solutions to a class of non-homogeneouns elliptic problems under sub-quadratic growth conditions
Albert Clop, Andrea Gentile, Antonia Passarelli di Napoli
We prove a sharp higher differentiability result for local minimizers of functionals of the form $$\mathcal{F}\left(w,Ω\right)=\int_Ω\left[ F\left(x,Dw(x)\right)-f(x)\cdot w(x)\rig…
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…
Pointwise descriptions of nearly incompressible vector fields with bounded curl
Albert Clop, Banhirup Sengupta
Among those nearly incompressible vector fields with growth at infinity, we give a pointwise characterization of the ones fo…
Improved Hölder regularity for strongly elliptic PDEs
Kari Astala, Albert Clop, Daniel Faraco +2
We establish surprising improved Schauder regularity properties for solutions to the Leray-Lions divergence type equation in the plane. The results are achieved by studying the non…