sample of publications

• articles 

  • Pseudospectral versus Galerkin methods: Fourth order equations.  Journal of Computational and Applied Mathematics.  413:1-16. 2022
  • Spatial competition strategies: The case of two refuges.  Communications in Nonlinear Science and Numerical Simulation.  106:1-18. 2021
  • Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions.  Computers and Mathematics with Applications.  89:1-19. 2021
  • Nonlinear finite elements: Sub- and supersolutions for the heterogeneous logistic equation.  Journal of Differential Equations.  278:189-219. 2021
  • A collocation-spectral method to solve the bi-dimensional degenerate diffusive logistic equation with spatial heterogeneities in circular domain.  Rendiconti dell'Istituto di Matematica dell'Universita di Trieste.  52:311-344. 2020
  • Global bifurcation diagrams of one node solutions in a class of degenerate boundary value problems.  Discrete and Continuous Dynamical Systems - Series B.  22:923-946. 2017
  • Spiraling bifurcation diagrams in superlinear indefinite problems.  Discrete and Continuous Dynamical Systems.  35:1561-1588. 2015
  • A nonlocal problem from conservation biology.  SIAM Journal on Mathematical Analysis.  46:4035-4059. 2014
  • Intricate dynamics caused by facilitation in competitive environments within polluted habitat patches.  European Journal of Applied Mathematics.  25:213-229. 2014
  • Intricate bifurcation diagrams for a class of one-dimensional superlinear indefinite problems of interest in population dynamics.  Discrete and Continuous Dynamical Systems.  515-524. 2013
  • The uniqueness of the linearly stable positive solution for a class of superlinear indefinite problems with nonhomogeneous boundary conditions.  Journal of Differential Equations.  255:503-523. 2013

• conference contributions 

  • Polar differentiation matrices and applications.  343-343. 2018
  • The role of pathfollowing in nonlinear elliptic problems.  62-62. 2018
  • A collocation spectral method to solve the heterogeneous logistic equation in circular domains 2014
  • Complex dynamics caused by facilitation in polluted landscapes 2012
  • Theoretical and numerical analysis of complex bifurcation diagrams related to a class of superlinear indefinite problems 2012
  • Competition and Cooperation 2008