28 citations · 87 across the 41 of their papers we have counts for
4 papers · 1 filter
Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy
Arka Mallick, Hoai-Minh Nguyen
Let , , and let be a smooth bounded open subset of . We prove some exponential integrability in the spirit of Moser-Trudinger's inequalities for…
Characterization of the traces on the boundary of functions in magnetic Sobolev spaces
Hoai-Minh Nguyen, Jean Van Schaftingen
We characterize the trace of magnetic Sobolev spaces defined in a half-space or in a smooth bounded domain in which the magnetic field is differentiable and its exterior deriva…
On anisotropic Sobolev spaces
Hoai-Minh Nguyen, Marco Squassina
We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain-Brezis-Mironescu formula, incl…
Some remarks on rearrangement for nonlocal functionals
Hoai-Minh Nguyen, Marco Squassina
We prove that a nonlocal functional approximating the standard Dirichlet -norm fails to decrease under two-point rearrangement. Furthermore, we get other properties related to t…