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.

Highlights

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Talks & Conferences

Co-organizer of the minisymposia ''Advances for problems with nonlinear differential operators'' at EQUADIFF15

Preprint

"Stationary fronts and pulses for multistable equations with saturating diffusion", with Maurizio Garrione.


Recent publication

"Stability, bifurcations and hydra effects in a stage-structured population model with threshold harvesting", with Eduardo Liz


Recent publication

"Wavefront solutions to reaction-convection equations with Perona-Malik diffusion", with Andrea Corli and Luisa Malaguti

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 (21)
Boundary value problem
Reaction diffusion problem
Indefinite weight
Saturating diffusion
Existence
Multiplicity
Dynamical system
Chaos
Population biology

  • 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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    BibTex
  • 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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    BibTex

    @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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    BibTex

    @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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    BibTex

    @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