PUBBLICAZIONI

Preprints

A. Cristofaro and L. Rossi. "Backstepping control for the sterile mosquitoes technique: stabilization of extinction equilibrium".
Preprint arxiv
H. Berestycki, L. Rossi and A.Tellini. "Coupled reaction-diffusion equations on adjacent domains".
Preprint pdf

Monografie o capitoli di libri

E. Affili, S. Dipierro, L. Rossi and E. Valdinoci. "A New Lotka-Volterra Model of Competition With Strategic Aggression".
Front. Math. Birkhäuser/Springer, Cham, 2024. 120 pp. arXiv
A.-C. Coulon, H. Berestycki, J.-M. Roquejoffre and L. Rossi. "Speed-up of reaction-diffusion fronts by a line of fast diffusion".
Séminaire Laurent Schwartz - EDP et applications, Année 2013-2014, 25 pp, Ed. Éc. Polytech., Palaiseau, 2014 pdf
L. Roques, J.-P. Rossi, H. Berestycki, J. Rousselet, J. Garnier, J.-M. Roquejoffre, L. Rossi, S. Soubeyrand e C. Robinet. "Modeling the spatio-temporal dynamics of the pine processionary moth". Processionary Moths and Climate Change: An Update. Berlin: Springer, 2015. Cap. 5, pp. 227–263.

Articoli pubblicati o accettati

F. Hamel and L. Rossi. "Spreading, flattening and logarithmic lag for reaction-diffusion equations in R^N: old and new results".
To appear on EMS Surv. Math. Sci. arXiv
F. Hamel and L. Rossi. "Asymptotic one-dimensional symmetry for the Fisher-KPP equation".
To appear on J. Eur. Math. Soc. (JEMS) arXiv
E. Affili, S. Dipierro, L. Rossi and E. Valdinoci. "A New Lotka-Volterra Model of Competition With Strategic Aggression".
Front. Math. Birkhäuser/Springer, Cham, 2024. 120 pp. arXiv
H. Berestycki, J.-M. Roquejoffre and L. Rossi. "Biological invasions and epidemics with nonlocal diffusion along a line".
To appear on Math. Med. Biol. arXiv
I. Capuzzo Dolcetta, L. Rossi and A. Vitolo. "Invariant cones for linear elliptic systems with gradient coupling".
Pure Appl. Funct. Anal. 8 (2023), pp. 117–132 pdf
A. Porretta and L. Rossi. "Traveling waves for a nonlocal KPP equation and mean-field game models of knowledge diffusion".
Ann. Institut H. Poincaré, Analyse Non Linéaire 39 (2022), pp. 947–1007 pdf
F. Hamel and L. Rossi. "Spreading sets and one-dimensional symmetry for reaction-diffusion equations".
Institut des Hautes Études Scientifiques, Bures-sur-Yvette (2022), 25 pp. pdf
H. Berestycki, S. Nordmann and L. Rossi. "Modeling the propagation of riots, collective behaviors and epidemics".
Math. Eng. 4 (2022), 53 pp. pdf
L. Rossi. "The Landis conjecture with sharp rate of decay".
Indiana Univ. Math. J. 70 (2021), pp. 301–324 pdf
H. Berestycki, J.-M. Roquejoffre and L. Rossi. "Propagation of epidemics along lines with fast diffusion".
Bull. Math. Biol. 83 (2021), 34 pp. pdf
H. Berestycki, R. Ducasse and L. Rossi. "Influence of a road on a population in an ecological niche facing climate change".
J. Math. Biol. 81 (2020), pp 1059-1097 pdf
T. Giletti and L. Rossi. "Pulsating solutions for multidimensional bistable and multistable equations".
Math. Ann. 378 (2020), pp 1555-1611 pdf
L. Rossi. "Stability analysis for semilinear parabolic problems in general unbounded domains".
J. Funct. Anal. 279 (2020), 39 pp pdf
H. Berestycki, R. Ducasse and L. Rossi. "Generalized principal eigenvalues for heterogeneous road-field systems".
Commun. Contemp. Math. 22 (2020), 35 pp pdf
J.-M. Roquejoffre, V. Roussier-Michon and L. Rossi. "Sharp large time behaviour in N-dimensional Fisher-KPP equations".
Discrete Contin. Dyn. Syst. 39 (2019), pp 7265-7290 pdf
F. Hamel, L. Rossi and E. Russ. "Optimization of some eigenvalue problems with large drift".
Comm. Partial Differential Equations 43 (2018), pp 945-964 pdf
R. Ducasse and L. Rossi. "Blocking and invasion for reaction-diffusion equation equations in periodic media".
Calc. Var. Partial Differential Equations 57 (2018), Art. 142, 39 pp pdf
H. Berestycki, L. Rossi and N. Rodriguez. "Periodic cycles of social outbursts of activity".
J. Differential Equations. 264 (2018), pp 163-196 pdf
L. Rossi, A. Tellini and E. Valdinoci. "The effect on Fisher-KPP propagation in a cylinder with fast diffusion on the boundary".
SIAM J. Math. Anal. 49 (2017), pp 4595-4624 pdf
L. Rossi. "The Freidlin-Gärtner formula for general reaction terms".
Adv. Math. 317 (2017), pp 267-298 pdf
L. Rossi. "Symmetrization and anti-symmetrization in parabolic equations".
Proc. Amer. Math. Soc. 145 (2017), pp 2527-2537 pdf
G. Nadin and L. Rossi. "Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations".
Arch. Ration. Mech. Anal. 223 (2017), pp 1239-1267 pdf
F. Hamel and L. Rossi. "Transition fronts for the Fisher-KPP equation".
Trans. Amer. Math. Soc. 368 (2016), pp 8675-8713 pdf
M. Bardi, A. Cesaroni and L. Rossi. "Nonexistence of nonconstant solutions of some degenerate Bellman equations and applications to stochastic control".
ESAIM Control Optim. Calc. Var. 22 (2016), pp 842-861 pdf
D. Castorina, A. Cesaroni and L. Rossi. "On a parabolic Hamilton-Jacobi-Bellman equation degenerating at the boundary".
Commun. Pure Appl. Anal. 15 (2016), pp 1251-1263 pdf
H. Berestycki, J.-M. Roquejoffre and L. Rossi. "Travelling waves, spreading and extinction for Fisher-KPP propagation driven by a line with fast diffusion".
Nonlinear Anal. 137 (2016), pp 171-189 pdf
H. Berestycki, J.-M. Roquejoffre and L. Rossi. "The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations".
Comm. Math. Phys. 343 (2016), pp 207-232 pdf
H. Berestycki, A.-C. Coulon, J.-M. Roquejoffre and L. Rossi. "The effect of a line with non-local diffusion on Fisher-KPP propagation".
Math. Models Methods Appl. Sci. 25 (2015), pp 2519-2562 pdf
G. Nadin and L. Rossi. "Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients".
Anal. PDE 8 (2015), pp 1351-1377 pdf
F. Hamel and L. Rossi. "Admissible speeds of transition fronts for non-autonomous monostable equations".
SIAM J. Math. Anal. 47-5 (2015), pp 3342-3392 pdf
H. Berestycki, I. Capuzzo Dolcetta, A. Porretta and L. Rossi. "Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators".
J. Math. Pures Appl. 103 (2015), pp 1276-1293 pdf
H. Berestycki and L. Rossi. "Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains".
Comm. Pure Appl. Math. 68 (2015), pp 1014-1065 pdf
L. Rossi and L. Ryzhik. "Transition waves for a class of space-time dependent monostable equations".
Commun. Math. Sci. 12 (2014), pp 879-900 pdf
H. Berestycki, J.-M. Roquejoffre and L. Rossi. "Fisher-kpp propagation in the presence of a line: Further effects".
Nonlinearity 26 (2013), pp 2623-2640 pdf
G. Nadin, L. Rossi, L. Ryzhik and B. Perthame. "Wave-like solutions for nonlocal reaction-diffusion equations: a toy model".
Math. Model. Nat. Phenom. 8 (2013), pp 33-41 pdf
H. Berestycki, J.-M. Roquejoffre and L. Rossi. "The influence of a line with fast diffusion on Fisher-KPP propagation".
J. Math. Biol. 66 (2013), pp 743-766 pdf
G. Nadin and L. Rossi. "Propagation phenomena for time heterogeneous KPP reaction-diffusion equations".
J. Math. Pures Appl. (9) 98 (2012), pp 633-653 pdf
H. Berestycki, J.-M. Roquejoffre and L. Rossi. "The periodic patch model for population dynamics with fractional diffusion".
Discrete Contin. Dyn. Syst. Ser. S, 4 (2011), pp 1-13 pdf
L. Rossi. "Liouville type results for periodic and almost periodic linear operators".
Ann. Institut H. Poincaré, Analyse Non Linéaire, 26 (2009), pp 2481-2502 pdf
H. Berestycki and L. Rossi. "Reaction-diffusion equations for population dynamics with forced speed. II. Cylindrical-type domains".
Discrete Contin. Dyn. Syst., 25 (2009), pp 19-61 pdf
M. E. Amendola, L. Rossi and A. Vitolo. "Phragmèn-Lindelöf principles for nonlinear elliptic equations".
J. Math. Sci. Adv. Appl., 2 (2009), pp 43-63 pdf
H. Berestycki and L. Rossi. "Reaction-diffusion equations for population dynamics with forced speed. I. The case of the whole space".
Discrete Contin. Dyn. Syst., 21 (2008), pp 41-67 pdf
M. E. Amendola, L. Rossi and A. Vitolo. "Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains".
Abstr. Appl. Anal., (2008), Art. ID 178534, 19 pp pdf
L. Rossi. "Non-existence of positive solutions of fully nonlinear elliptic equations in unbounded domains".
Comm. Pure Appl. Anal., 7 (2008), pp 125-141 pdf
H. Berestycki, F. Hamel and L. Rossi. "Liouville type results for semilinear elliptic equations in unbounded domains".
Annali Mat. Pura Appl. (4), 186 (2007), pp 469-507 pdf
H. Berestycki and L. Rossi. "On the principal eigenvalue of elliptic operators in R^N and applications".
J. Eur. Math. Soc. (JEMS), 8 (2006), pp 195-215. pdf

Mémoire di Habilitation à Diriger des Recherches

The role of the geometry on the dynamics of reaction-diffusion equations, 2019. pdf