sample of publications

• articles 

  • A stationary population model with an interior interface-type boundary.  Nonlinear Analysis: Real World Applications.  73,103918:1-26. 2023
  • On a class of linear cooperative systems with spatio-temporal degenerate potentials.  Mediterranean Journal of Mathematics.  18:249. 2021
  • On unbounded solutions of ergodic problems for non-local Hamilton-Jacobi equations.  Nonlinear Analysis, Theory, Methods and Applications.  180:94-128. 2019
  • Nonlocal heat equations: Regularizing effect, decay estimates and Nash inequalities.  Communications on Pure and Applied Analysis.  17:1161-1178. 2018
  • More network science for teenagers.  ArXiv.org.  1-4. 2014
  • Nonlocal heat equations: decay estimates and Nash inequalities.  ArXiv.org.  2013
  • Large deviation estimates for some nonlocal equations. General bounds and applications.  Transactions of the American Mathematical Society.  365:3437-3476. 2013
  • A concave-convex elliptic problem involving the fractional Laplacian.  Proceedings of the Royal Society of Edinburgh Section A: Mathematics.  1:39-71. 2013
  • Phase Transitions with Midrange Interactions: A Nonlocal Stefan Model.  SIAM Journal on Matrix Analysis and Applications.  4:3071-3100. 2012
  • Phase transitions with mid-range interactions: a non-local Stefan model Phase transitions with mid-range interactions: a non-local Stefan model.  SIAM Journal on Mathematical Analysis.  4:3071-3100. 2012
  • Unbounded solutions of the nonlocal heat equation.  Communications on Pure and Applied Analysis.  10:1663-1686. 2011
  • Complete Blow-up and Avalanche Formation for a Parabolic System with Non-Simultaneous Blow-up.  Advanced Nonlinear Studies.  10:659-679. 2010
  • Large Deviations Estimates for Some Non-Local Equations: Fast Decaying Kernels and Explicit Bounds.  Nonlinear Analysis, Theory, Methods and Applications.  71:5572-5586. 2009

• conference contributions 

  • On unbounded solutions of ergodic problems for non-local Hamilton-Jacobi equations.  17-17. 2018
  • On unbounded solutions of ergodic problems for non-local Hamilton-Jacobi equations 2017
  • Phase transitions with mid-range interactions: a non-local Stefan model 2013
  • An adaptative numerical method to handle blow-up in a parabolic system 2011
  • Complete Blow-Up and Avalanche Formation for a Parabolic System with Non-Simultaneous Blow-Up 2008