Elisa Sovrano

Assistant professor (RTDB) @ UNIMORE

I am a researcher in nonlinear analysis. I work on boundary value problems associated with ordinary and partial differential equations, and on dynamical systems. My goal is to make applied models more understandable from a mathematical point of view.



I am Assistant Professor (RTdB) at UNIMORE - DSMI, Modena and Reggio Emilia (Italy)


I was a Postdoc Researcher at

I was also a Visiting Researcher at

I got a PhD in Computer Science, Mathematics and Physics at



Ongoing projects

  • Boundary value problems with indefinite weights
  • System of coupled equations with degenerate diffusion
  • Reaction-convection-saturated diffusion models
  • Reaction-diffusion models with transmission conditions
  • Discrete-time population models for threshold harvesting


ALL (23)
Boundary value problem
Reaction diffusion problem
Indefinite weight
Saturating diffusion
Dynamical system
Population biology

  • Coupled reaction-diffusion equations with degenerate diffusivity: wavefront analysis. Preprint, 2023, with E. Muñoz-Hernández and V. Taddei.
  • Stationary fronts and pulses for multistable equations with saturating diffusion. NoDEA Nonlinear Differential Equations Appl., 2023, with Maurizio Garrione.
  • Stability, bifurcations and hydra effects in a stage-structured population model with threshold harvesting. Commun. Nonlinear Sci. Numer., 2022, with Eduardo Liz.
  • Wavefront solutions to reaction-convection equations with Perona-Malik diffusion. J. Differential Equations, 2022, with Andrea Corli and Luisa Malaguti.
  • On the number of positive solutions to an indefinite parameter-dependent Neumann problem. Discrete Contin. Dyn. Syst., 2021, with Guglielmo Feltrin and Andrea Tellini.
  • Extinction or coexistence in periodic Kolmogorov systems of competitive type. Discrete Contin. Dyn. Syst., 2021, with Isabel Coelho and Carlota Rebelo.
  • Positive solutions of superlinear indefinite prescribed mean curvature problems. Communications in Contemporary Mathematics, 2021, with Pierpaolo Omari.
  • Positive solutions of indefinite logistic growth models with flux-saturated diffusion. Nonlinear Analysis, Theory, Methods and Applications, 2020, with Pierpaolo Omari.
  • Chaos in periodically forced reversible vector fields. Journal of Singularities, 2020, with Isabel S. Labouriau.
  • How to construct complex dynamics? A note on a topological approach. International Journal of Bifurcation and Chaos, 2020.
  • High multiplicity and chaos for an indefinite problem arising from genetic models. Advanced Nonlinear Studies, 2020, with Alberto Boscaggin and Guglielmo Feltrin.
  • Periodic solutions to parameter-dependent equations with a Φ-Laplacian type operator. NoDEA. Nonlinear Differential Equations and Applications, 2020, with Guglielmo Feltrin and Fabio Zanolin.
  • An indefinite nonlinear problem in population dynamics: High multiplicity of positive solutions. Nonlinearity, 2018, with Guglielmo Feltrin.
  • A negative answer to a conjecture arising in the study of selection–migration models in population genetics. Journal of Mathematical Biology, 2018.
  • Ambrosetti-prodi type result to a Neumann problem via a topological approach. Discrete and Continuous Dynamical Systems - Series S, 2018.
  • Ambrosetti-Prodi periodic problem under local coercivity conditions. Advanced Nonlinear Studies, 2018, with Fabio Zanolin.
  • Three positive solutions to an indefinite Neumann problem: A shooting method. Nonlinear Analysis, Theory, Methods and Applications, 2018, with Guglielmo Feltrin.
  • Indefinite weight nonlinear problems with Neumann boundary conditions. Journal of Mathematical Analysis and Applications, 2017, with Fabio Zanolin.
  • A periodic problem for first order differential equations with locally coercive nonlinearities. Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 2017, with Fabio Zanolin.
  • The Ambrosetti-Prodi periodic problem: Different routes to complex dynamics. Dynamic Systems and Applications, 2017, with Fabio Zanolin.
  • About Chaotic Dynamics in the Twisted Horseshoe Map. International Journal of Bifurcation and Chaos, 2016.
  • Remarks on Dirichlet problems with sublinear growth at infinity. Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 2015, with Fabio Zanolin.
  • Dolcher fixed point theorem and its connections with recent developments on compressive/expansive maps. Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 2014, with Fabio Zanolin.

  • Contacts

    To get in touch with me

    Work Adress

    Università degli Studi di Modena e Reggio Emilia (UNIMORE)
    Dipartimento di Scienze e Metodi dell’Ingegneria (DSMI)
    Via Amendola 2 - Pad. Morselli, 42122 Reggio Emilia, Italy