8 citations · 8 across the 2 of their papers we have counts for
9 papers
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…
An estimate of the Hopf degree of fractional Sobolev mappings
Armin Schikorra, Jean Van Schaftingen
We estimate the Hopf degree for smooth maps from to in the fractional Sobolev space. Namely we show that for …
Range convergence monotonicity for vector measures and range monotonicity of the mass
Justin Dekeyser, Jean Van Schaftingen
We prove that the range of sequence of vector measures converging widely satisfies a weak lower semicontinuity property, that the convergence of the range implies the strict conver…
Metric characterization of the sum of fractional Sobolev spaces
Rémy Rodiac, Jean Van Schaftingen
We introduce a non-linear criterion which allows us to determine when a function can be written as a sum of functions belonging to homogeneous fractional spaces: for $\ell \in \mat…
Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps
Jean Van Schaftingen
A free homotopy decomposition of any continuous map from a compact Riemmanian manifold to a compact Riemannian manifold into a finite number maps belong…
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma
Daniel Spector, Jean Van Schaftingen
We prove a family of Sobolev inequalities of the form where $A (D) : C^\i…