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.

Experience

Lately

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


Previously

I was a Postdoc Researcher at

I was also a Visiting Researcher at

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


My CV

Research

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


Publications

ALL (25)
Boundary value problem
Reaction diffusion problem
Indefinite weight
Saturating diffusion
Existence
Multiplicity
Dynamical system
Chaos
Population biology

  • Continuous dependence for p-Laplace equations with varying operators. Discrete Contin. Dyn. Syst. S, 2024, with F. Colasuonno and B. Noris.
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  • Wavefronts in coupled degenerate reaction-diffusion equations for bacterial growth models. Preprint, 2024, with L Malaguti.
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  • Coupled reaction-diffusion equations with degenerate diffusivity: wavefront analysis. Preprint, 2023, with E. Muñoz-Hernández and V. Taddei.
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  • Stationary fronts and pulses for multistable equations with saturating diffusion. NoDEA Nonlinear Differential Equations Appl., 2023, with Maurizio Garrione.
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  • Stability, bifurcations and hydra effects in a stage-structured population model with threshold harvesting. Commun. Nonlinear Sci. Numer., 2022, with Eduardo Liz.
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  • Wavefront solutions to reaction-convection equations with Perona-Malik diffusion. J. Differential Equations, 2022, with Andrea Corli and Luisa Malaguti.
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  • On the number of positive solutions to an indefinite parameter-dependent Neumann problem. Discrete Contin. Dyn. Syst., 2021, with Guglielmo Feltrin and Andrea Tellini.
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  • Extinction or coexistence in periodic Kolmogorov systems of competitive type. Discrete Contin. Dyn. Syst., 2021, with Isabel Coelho and Carlota Rebelo.
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    @article {CoReSo-DCDS-2021,
      AUTHOR = {Coelho, I. and Rebelo, C. and Sovrano, E.},
      TITLE = {Extinction or coexistence in periodic Kolmogorov systems of competitive type},
      JOURNAL = {Discrete Contin. Dyn. Syst.},
      FJOURNAL = {Discrete and Continuous Dynamical Systems Journal},
      YEAR = {2021},
      }

  • Positive solutions of superlinear indefinite prescribed mean curvature problems. Communications in Contemporary Mathematics, 2021, with Pierpaolo Omari.
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    @article {OmSo-CCM-2020,
      AUTHOR = {Omari, P. and Sovrano, E.},
      TITLE = {Positive solutions of superlinear indefinite prescribed mean curvature problems},
      JOURNAL = {Commun. Contemp. Math.},
      FJOURNAL = {Communications in Contemporary Mathematics},
      YEAR = {2020},
      DOI = {https://doi.org/10.1142/S0219199720500170},
      }

  • Positive solutions of indefinite logistic growth models with flux-saturated diffusion. Nonlinear Analysis, Theory, Methods and Applications, 2020, with Pierpaolo Omari.
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    @article {OmSo-NA-2020,
      AUTHOR = {Omari, P. and Sovrano, E.},
      TITLE = {Positive solutions of indefinite logistic growth models with flux-saturated diffusion},
      JOURNAL = {Nonlinear Anal.},
      FJOURNAL = {Nonlinear Analysis, Theory, Methods and Applications},
      YEAR = {2020},
      NOTE = {to appear},
    }

  • Chaos in periodically forced reversible vector fields. Journal of Singularities, 2020, with Isabel S. Labouriau.
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    @article {LaSo-JS-2020,
      AUTHOR = {Labouriau, I. S. and Sovrano, E.},
      TITLE = {Chaos in periodically forced reversible vector fields},
      JOURNAL = {J. Singul.},
      FJOURNAL = {Journal of Singularities},
      VOLUME = {22},
      YEAR = {2020},
      PAGES = {227--240},
      }

  • How to construct complex dynamics? A note on a topological approach. International Journal of Bifurcation and Chaos, 2020.
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    @article {So-IJBC-2020,
      AUTHOR = {Sovrano, E.},
      TITLE = {How to {C}onstruct {C}omplex {D}ynamics? {A} {N}ote on a {T}opological {A}pproach},
      JOURNAL = {Internat. J. Bifur. Chaos Appl. Sci. Engrg.},
      FJOURNAL = {International Journal of Bifurcation and Chaos in Applied Sciences and Engineering},
      VOLUME = {30},
      YEAR = {2020},
      NUMBER = {2},
      PAGES = {2050034, 7},
      DOI = {10.1142/S0218127420500340},
      URL = {https://doi.org/10.1142/S0218127420500340},
    }

  • High multiplicity and chaos for an indefinite problem arising from genetic models. Advanced Nonlinear Studies, 2020, with Alberto Boscaggin and Guglielmo Feltrin.
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    @article {BoFeSo-ANS-2020,
      AUTHOR = {Boscaggin, A. and Feltrin, G. and Sovrano, E.},
      TITLE = {High {M}ultiplicity and {C}haos for an {I}ndefinite {P}roblem {A}rising from {G}enetic {M}odels.},
      JOURNAL = {Adv. Nonlinear Stud.},
      FJOURNAL = {Advanced Nonlinear Studies},
      YEAR = {2020},
      PAGES = {000010151520202094},
      URL = {https://www.degruyter.com/view/journals/ans/ahead-of-print/article-10.1515-ans-2020-2094/article-10.1515-ans-2020-2094.xml},
    }

  • 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.
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    @article {FeSoZa-NODEA-2019,
      AUTHOR = {Feltrin, G. and Sovrano, E. and Zanolin, F.},
      TITLE = {Periodic solutions to parameter-dependent equations with a {$\phi$}-{L}aplacian type operator},
      JOURNAL = {NoDEA Nonlinear Differential Equations Appl.},
      FJOURNAL = {NoDEA. Nonlinear Differential Equations and Applications},
      VOLUME = {5},
      YEAR = {2019},
      NUMBER = {5},
      PAGES = {Paper No. 38, 27},
      DOI = {10.1007/s00030-019-0585-3},
      URL = {https://doi.org/10.1007/s00030-019-0585-3},
    }

  • An indefinite nonlinear problem in population dynamics: High multiplicity of positive solutions. Nonlinearity, 2018, with Guglielmo Feltrin.
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    @article {FeSo-NL-2018,
      AUTHOR = {Feltrin, G. and Sovrano, E.},
      TITLE = {An indefinite nonlinear problem in population dynamics: High multiplicity of positive solutions},
      JOURNAL = {Nonlinearity},
      FJOURNAL = {Nonlinearity},
      VOLUME = {31},
      YEAR = {2018},
      NUMBER = {9},
      PAGES = {4137--4161},
      DOI = {10.1088/1361-6544/aac8bb},
      URL = {https://doi.org/10.1088/1361-6544/aac8bb},
    }

  • A negative answer to a conjecture arising in the study of selection–migration models in population genetics. Journal of Mathematical Biology, 2018.
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    @article {So-JOMB-2018,
      AUTHOR = {Sovrano, E.},
      TITLE = {A negative answer to a conjecture arising in the study of selection–migration models in population genetics.},
      JOURNAL = {J. Math. Biol.},
      FJOURNAL = {Journal of Mathematical Biology},
      VOLUME = {76},
      YEAR = {2018},
      NUMBER = {7},
      PAGES = {1655--1672},
      DOI = {10.1007/s00285-017-1185-7},
      URL = {https://doi.org/10.1007/s00285-017-1185-7},
    }

  • Ambrosetti-prodi type result to a Neumann problem via a topological approach. Discrete and Continuous Dynamical Systems - Series S, 2018.
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    @article {So-DCDSS-2018,
      AUTHOR = {Sovrano, E.},
      TITLE = {Ambrosetti-{P}rodi type result to a {N}eumann problem via a topological approach},
      JOURNAL = {Discrete Contin. Dyn. Syst. Ser. S},
      FJOURNAL = {Discrete and Continuous Dynamical Systems. Series S},
      VOLUME = {11},
      YEAR = {2018},
      NUMBER = {2},
      PAGES = {345--355},
      DOI = {10.3934/dcdss.2018019},
      URL = {https://doi.org/10.3934/dcdss.2018019},
    }

  • Ambrosetti-Prodi periodic problem under local coercivity conditions. Advanced Nonlinear Studies, 2018, with Fabio Zanolin.
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    @article {SoZa-ANS-2018,
      AUTHOR = {Sovrano, E. and Zanolin, F.},
      TITLE = {Ambrosetti-{P}rodi periodic problem under local coercivity conditions},
      JOURNAL = {Adv. Nonlinear Stud.},
      FJOURNAL = {Advanced Nonlinear Studies},
      VOLUME = {18},
      YEAR = {2018},
      NUMBER = {1},
      PAGES = {169--182},
      DOI = {10.1515/ans-2017-6040},
      URL = {https://doi.org/10.1515/ans-2017-6040},
    }

  • Three positive solutions to an indefinite Neumann problem: A shooting method. Nonlinear Analysis, Theory, Methods and Applications, 2018, with Guglielmo Feltrin.
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    @article {FeSo-NA-2018,
      AUTHOR = {Feltrin, G. and Sovrano, E.},
      TITLE = {Three positive solutions to an indefinite {N}eumann problem: a shooting method},
      JOURNAL = {Nonlinear Anal.},
      FJOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal},
      VOLUME = {166},
      YEAR = {2018},
      PAGES = {87--101},
      DOI = {10.1016/j.na.2017.10.006},
      URL = {https://doi.org/10.1016/j.na.2017.10.006},
    }

  • Indefinite weight nonlinear problems with Neumann boundary conditions. Journal of Mathematical Analysis and Applications, 2017, with Fabio Zanolin.
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    @article {SoZa-JMAA-2017,
      AUTHOR = {Sovrano, E. and Zanolin, F.},
      TITLE = {Indefinite weight nonlinear problems with {N}eumann boundary conditions},
      JOURNAL = {J. Math. Anal. Appl.},
      FJOURNAL = {Journal of Mathematical Analysis and Applications},
      VOLUME = {452},
      YEAR = {2017},
      NUMBER = {1},
      PAGES = {126--147},
      DOI = {10.1016/j.jmaa.2017.02.052},
      URL = {https://doi.org/10.1016/j.jmaa.2017.02.052},
    }

  • 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.
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    @article {SoZa-RIMUT-2017,
      AUTHOR = {Sovrano, E. and Zanolin, F.},
      TITLE = {A periodic problem for first order differential equations with locally coercive nonlinearities},
      JOURNAL = {Rend. Istit. Mat. Univ. Trieste},
      FJOURNAL = {Rendiconti dell'Istituto di Matematica dell'Universit\`a di Trieste. An International Journal of Mathematics},
      VOLUME = {49},
      YEAR = {2017},
      PAGES = {335--355},
      DOI = {10.13137/2464-8728/16219},
      URL = {http://hdl.handle.net/10077/16219},
    }

  • The Ambrosetti-Prodi periodic problem: Different routes to complex dynamics. Dynamic Systems and Applications, 2017, with Fabio Zanolin.
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    @article {SoZa-DSA-2017,
      AUTHOR = {Sovrano, E. and Zanolin, F.},
      TITLE = {The {A}mbrosetti-{P}rodi periodic problem: {D}ifferent routes to complex dynamics},
      JOURNAL = {Dynam. Systems Appl.},
      FJOURNAL = {Dynamic Systems and Applications},
      VOLUME = {26},
      YEAR = {2017},
      PAGES = {589--626},
      DOI = {10.12732/dsa.v26i34.13},
      URL = {https://acadsol.eu/dsa/articles/26/34/13.pdf},
    }

  • About Chaotic Dynamics in the Twisted Horseshoe Map. International Journal of Bifurcation and Chaos, 2016.
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    @article {So-IJBC-2016,
      AUTHOR = {Sovrano, E.},
      TITLE = {About {C}haotic {D}ynamics in the {T}wisted {H}orseshoe {M}ap},
      JOURNAL = {Internat. J. Bifur. Chaos Appl. Sci. Engrg.},
      FJOURNAL = {International Journal of Bifurcation and Chaos in Applied Sciences and Engineering},
      VOLUME = {26},
      YEAR = {2016},
      NUMBER = {6},
      PAGES = {1650092, 10},
      DOI = {10.1142/S0218127416500929},
      URL = {https://doi.org/10.1142/S0218127416500929},
    }

  • Remarks on Dirichlet problems with sublinear growth at infinity. Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 2015, with Fabio Zanolin.
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    @article {SoZa-RIMUT-2015,
      AUTHOR = {Sovrano, E. and Zanolin, F.},
      TITLE = {Remarks on Dirichlet problems with sublinear growth at infinity},
      JOURNAL = {Rend. Istit. Mat. Univ. Trieste},
      FJOURNAL = {Rendiconti dell'Istituto di Matematica dell'Universit\`a di Trieste. An International Journal of Mathematics},
      VOLUME = {47},
      YEAR = {2015},
      PAGES = {267--305},
      DOI = {10.13137/0049-4704/11798},
      URL = {http://hdl.handle.net/10077/11798},
    }

  • 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.
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    @article {SoZa-RIMUT-2014,
      AUTHOR = {Sovrano, E. and Zanolin, F.},
      TITLE = {Dolcher fixed point theorem and its connections with recent developments on compressive/expansive maps},
      JOURNAL = {Rend. Istit. Mat. Univ. Trieste},
      FJOURNAL = {Rendiconti dell'Istituto di Matematica dell'Universit\`a di Trieste. An International Journal of Mathematics},
      VOLUME = {46},
      YEAR = {2014},
      PAGES = {101--121 },
      ISSN = {0049-4704},
      URL = {http://hdl.handle.net/10077/10624},
    }

    • 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