Research

My goal is to develop and apply theoretical tools to phenomena arising from real world applications.

My research interest lies in the field of Nonlinear Analysis. I focus on the study of existence, multiplicity and chaotic behaviors of solutions for boundary value problems (BVPs) associated with ordinary differential equations (ODEs) and with partial differential equations (PDEs).

I am an expert user of Mathematica and LaTeX.

Bio & CV

Currently, I am a PostDoc Researcher funded by FSMP (Fondation Sciences Mathématiques de Paris) at CNRS - CAMS (Centre d'Analyse et de Mathématique Sociales) - EHESS (École des Hautes Études en Sciences Sociales), Paris (France), supervised by Prof. Henri Berestycki.

❅   ❅   ❅

From January 2019 till November 2019, I have been a PostDoc funded by INdAM (Istituto Nazionale di Alta Matematica) at Department of Mathematics and Geosciences, University of Trieste (Italy), supervised by Prof. Pierpaolo Omari. From July 2018 till December 2018 I have been a PostDoc at CMUP-Centre for Mathematics of the University of Porto (Portugal) under the supervision of Prof. Isabel Labouriau.

❅   ❅   ❅

On February 2018, I got my PhD in Computer Science, Mathematics and Physics with mention Doctor Europaeus under the supervision of Prof. Fabio Zanolin at the University of Udine. During my PhD, I have got the opportunity to carry out research and training activities off-site at the "Center for Mathematics, Fundamental Applications and Operations Research" at the University of Lisbon in Portugal.

I gained teaching experience in undergraduate courses on calculus at the University of Udine in Italy.

Outside of academia, I enjoy traveling all around the globe, exploring cultures and panoramas to catch the mood. Here's a taste.

Publications

Published & accepted

    2020
  • E. Sovrano. How to get construct dynamics? A note on a topological approach. Internat. J. Bifur. Chaos Appl. Sci. Engrg. To appear, 2020;
    2019
  • G. Feltrin, E. Sovrano, F. Zanolin. Periodic solutions to parameter-dependent equations with a φ-Laplacian type operator. NoDEA 26(5), 2019;
    2018
  • G. Feltrin, E. Sovrano. An indefinite nonlinear problem in population dynamics: high multiplicity of positive solutions. Nonlinearity. 31(9):4137, 2018;
  • E. Sovrano. A negative answer to a conjecture arising in the study of selection-migration models in population genetics. J. Math. Biol. 76(7):1655–1672, 2018;
  • E. Sovrano, F. Zanolin. Ambrosetti-Prodi periodic problem under local coercivity conditions. Adv. Nonlinear Stud. 18(1): 169–182, 2018;
  • G. Feltrin, E. Sovrano. Three positive solutions to an indefinite Neumann problem: a shooting method. Nonlinear Anal., 166:87–101, 2018;
  • E. Sovrano. Ambrosetti-Prodi type result to a Neumann problem via a topological approach. Discrete Contin. Dyn. Syst. Ser. S, 11(2):345–355, 2018;
    2017
  • E. Sovrano, F. Zanolin. A periodic problem for first order differential equations with locally coercive nonlinearities. Rend. Istit. Mat. Univ. Trieste, 49 pp. 335–355, 2017;
  • E. Sovrano, F. Zanolin. The Ambrosetti-Prodi periodic problem: Different routes to complex dynamics. Dynam. Systems Appl. 26, 589-626, 2017;
  • E. Sovrano, F. Zanolin. Indefinite weight nonlinear problems with Neumann boundary conditions. J. Math. Anal. Appl. 452, 126–147, 2017;
    2016
  • E. Sovrano. About chaos in the twisted horseshoe map. Internat. J. Bifur. Chaos Appl. Sci. Engrg., Vol. 26, No. 6, 1650092 (10 pages), 2016;
    2015
  • E. Sovrano, F. Zanolin. Remarks on Dirichlet problems with sublinear growth at infinity. Rend. Istit. Mat. Univ. Trieste 7:267–305, 2015;
    2014
  • E. Sovrano, F. Zanolin. Dolcher fixed point theorem and its connections with recent developments on compressive/expansive maps. Rend. Istit. Mat. Univ. Trieste 46:101–121, 2014.

Preprints

  • P. Omari, E. Sovrano. Positive solutions of superlinear indefinite prescribed mean curvature problems. Submitted 2019;
  • A. Boscaggin, G. Feltrin, E. Sovrano, F. Zanolin. High multiplicity and chaos for an indefinite problem arising from genetic models. Submitted 2019.

Conferences

Some past events where I contributed. Past events I co-organized.
  • 23-26/01/2016, Nonlinear Meeting in Udine 2017 on the occasion of Pierpaolo Omari’s 60th birthday, Udine, Italy.