Publications

Preprints

• F. Hamel and L. Rossi. "Spreading speeds and one-dimensional symmetry for reaction-diffusion equations".
  Preprint    pdf
• E. Affili, S. Dipierro, L. Rossi and E. Valdinoci. "Civil wars: A new lotka-volterra competitive system and analysis of winning strategies".
  Preprint    pdf
• H. Berestycki, L. Rossi and A.Tellini. "Coupled reaction-diffusion equations on adjacent domains".
  Preprint    pdf

Published or accepted for publication

• A. Porretta and L. Rossi. "Traveling waves for a nonlocal KPP equation and mean-field game models of knowledge diffusion".
  To appear on Ann. Institut H. Poincaré, Analyse Non Linéaire    pdf
• I. Capuzzo Dolcetta, L. Rossi and A. Vitolo. "Invariant cones for linear elliptic systems with gradient coupling".
  To appear on Pure Appl. Funct. Anal.    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
• 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. 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 d'HDR

• "The role of the geometry on the dynamics of reaction-diffusion equations".    pdf