Research

Publications

Please be aware that the preprints below may (slightly) differ from their published versions.

Preprint:

  • (with J. Coville) Propagation phenomena with nonlocal diffusion in presence of an obstacle, (2020). HAL

Published or accepted:

  • (with S. Dipierro) Some monotonicity results for general systems of nonlinear elliptic PDEs, J. Diff. Eq., 261(5), pp. 2854-2880, (2016). HAL

  • A Bourgain-Brezis-Mironescu characterization of higher order Besov-Nikol'skii spaces, Ann. Inst. Fourier, 68(4), pp. 1671-1714, (2018). HAL

  • On restrictions of Besov functions, Nonlinear Anal., 170C, pp. 197-225, (2018). HAL

  • (with J. Coville, F. Hamel, E. Valdinoci) Liouville type results for a nonlocal obstacle problem, Proc. London Math. Soc., 119(2), pp. 291-328, (2019). HAL

  • (with J. Coville) A counterexample to the Liouville property of some nonlocal problems, Ann. I. H. PoincarĂ© - AN, 37(3), pp. 549-579, (2020). HAL

  • On the role of the range of dispersal in a nonlocal Fisher-KPP equation: an asymptotic analysis, Commun. Contemp. Math., 23(3), pp. 2050032, (2021). HAL

In preparation:

  • (with H. Berestycki) On the existence of ground states in exterior domains.

  • (with S. Nordmann) On a fractional analogue of a result of Casten, Holland and Matano.


The manuscript of my PhD thesis may be found here.