5 citations · 6 across the 6 of their papers we have counts for
8 papers
How smooth are restrictions of Besov functions?
Julien Brasseur
In a previous work, we showed that Besov spaces do not enjoy the restriction property unless . Specifically, we proved that if , then it is always possible to constru…
Propagation phenomena with nonlocal diffusion in presence of an obstacle
Julien Brasseur, Jérôme Coville
We consider a nonlocal semi-linear parabolic equation on a connected exterior domain of the form , where is a compact "obstacle". Th…
On the role of the range of dispersal in a nonlocal Fisher-KPP equation: an asymptotic analysis
Julien Brasseur
In this paper, we study the asymptotic behavior as of solutions to the nonlocal stationary Fisher-KPP type equation$$ \frac{1}{\varepsilon^m}\i…
A counterexample to the Liouville property of some nonlocal problems
Julien Brasseur, Jérôme Coville
In this paper, we construct a counterexample to the Liouville property of some nonlocal reaction-diffusion equations of the form$$ \int\_{\mathbb{R}^N\setminus K} J(x-y)\,( u(y)-u(…
Liouville type results for a nonlocal obstacle problem
Julien Brasseur, Jérôme Coville, Francois Hamel +1
This paper is concerned with qualitative properties of solutions to nonlocal reaction-diffusion equations of the form$$ \int\_{\mathbb{R}^N\setminus K} J(x-y)\,\big( u(y)-u(x) \big…
On restrictions of Besov functions
Julien Brasseur
In this paper, we study the smoothness of restrictions of Besov functions. It is known that for any with we have $f(\cdot,y)\in B\_{p,q}^s…
A Bourgain-Brezis-Mironescu characterization of higher order Besov-Nikol'skii spaces
Julien Brasseur
We study a class of nonlocal functionals in the spirit of the recent characterization of the Sobolev spaces derived by Bourgain, Brezis and Mironescu. We show that it pro…
Some monotonicity results for general systems of nonlinear elliptic PDEs
Julien Brasseur, Serena Dipierro
In this paper we show that minima and stable solutions of a general energy functional of the form enjoy some monotonicity properties, unde…