DEG1 (Differential Equations Group Of North-East) is an Italian mathematical platform with the aim of gathering the contributions of researchers, former members and collaborators of the differential equations research groups of the academic institutions in Friuli-Venezia Giulia: University of Trieste, University of Udine and SISSA.
DEG1 is based on the sharing of news, ideas, projects and other academic stuff. Below you can find a collection of recent papers and preprints of the group members, along with their research activities and projects. Some scientific events of interest for the group are also posted.

Members

DEG1 Followers – You can join the mailing list by writing us a message (go the section Contacts).

Events

DEG1 events

The group organises periodic meetings. The list of past events is available at the page:
past DEG1 events

Twice a month webinars are held in order to keep the group up-to-date with the latest research products of its members:
DEG1 Webinars


Events of interest

[school] Lectures in Nonlinear Analysis and Differential Equations
Rende (CS), 20-24 Apr 2020

[workshop] XX CEDYA Conferencia de ecuciones diferenciales y aplicaciones
Gijón (Spain), 15-19 Jun 2020

[workshop] 8th European Congress of Mathematics
Portorož (Slovenia), 5-11 July 2020

[school] Modern Aspects of Dynamical Systems (CIME course)
Cetraro (CS), 20-24 July 2020

[workshop] ECMTB 2020 – 12th European Conference on Mathematical and Theoretical Biology
Heidelberg (Germany), 31 Aug – 4 Sept 2020

[workshop] Differential Equations and Applications
Brno (Czech Republic), 7-10 Sept 2020

[workshop] Convegno GNAMPA 2020
Montecatini Terme, 14‑17 Sept 2020

[workshop] INdAM Workshop “Nonlinear Phenomena: between ODEs and PDEs”
Roma, 14‑18 Sept 2020

[workshop] DSDFE 2020 – Dynamical Systems, Difference and Functional Equations
Krynica‑Zdrój (Poland), 13‑18 Sept 2020

[workshop] Geometric and Variational Methods in Celestial Mechanics
Oaxaca (Mexico), 4-9 Oct 2020

[school] 2nd IST Austria Summer School in Analysis and PDEs
IST Austria, Klosterneuburg (Austria), 2021

[workshop] DS21 – SIAM Conference on Applications of Dynamical Systems
Portland (US), 23-27 May 2021

[workshop] The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
Atlanta (US), 17-21 Jun 2021

[conference] ICM 2022 – International Congress of Mathematicians
Saint Petersburg (Russia), 6-14 July 2022


Papers

Preprints

  • W. Ao, A. Jevnikar, W. Yang, Wave equations associated to Liouville-type problems: global existence in time and blow up criteria. pdf-162.png
  • W. Ao, A. Jevnikar, W. Yang, Blow up solutions for Sinh-Gordon equation with residual mass. pdf-162.png
  • D. Bartolucci, A. Jevnikar, On the global bifurcation diagram of the Gel’fand problem. pdf-162.png
  • H. Berestycki, L. Rossi, A. Tellini, Coupled reaction-diffusion equations on adjacent domains. pdf-162.png
  • A. Boscaggin, F. Colasuonno, B. Noris, Multiplicity of solutions for the Minkowski-curvature equation via shooting method. pdf-162.png
  • A. Boscaggin, W. Dambrosio, G. Feltrin, Periodic solutions to a perturbed relativistic Kepler problem. pdf-162.png
  • A. Boscaggin, W. Dambrosio, G. Feltrin, S. Terracini, Parabolic arcs for time-dependent perturbations of the Kepler problem. pdf-162.png
  • A. Boscaggin, G. Feltrin, Positive periodic solutions to an indefinite Minkowski-curvature equation. pdf-162.png
  • A. Boscaggin, G. Feltrin, E. Sovrano, High multiplicity and chaos for an indefinite problem arising from genetic models. pdf-162.png
  • G. Colombo, P. Gidoni, On the optimal control of rate-independent soft crawlers. pdf-162.png
  • T. Dondè, F. Zanolin, Multiple periodic solutions for a Duffing type equation with one-sided sublinear nonlinearity: Beyond the Poincaré-Birkhoff twist theorem. pdf-162.png
  • C. Fabry, A. Fonda, A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems. pdf-162.png
  • A. Fonda, A logarithmic spiral in the complex plane interpolating between the exponential and the circular functions. pdf-162.png
  • A. Fonda, P. Gidoni, Coupling linearity and twist: an extension of the Poincaré–Birkhoff Theorem for Hamiltonian systems. pdf-162.png
  • A. Fonda, J. Mawhin, M. Willem, Multiple periodic solutions of infinite-dimensional pendulum-like equations. pdf-162.png
  • A. Fonda, R. Toader, Subharmonic solutions of weakly coupled Hamiltonian systems. pdf-162.png
  • M. Garrione, Vanishing diffusion limits for planar fronts in bistable models with saturation. pdf-162.png
  • A. Jevnikar, A. Malchiodi, R. Wu, Existence results for a super-Liouville equation on compact surfaces. pdf-162.png
  • A. Jevnikar, A. Malchiodi, R. Wu, Existence results for super-Liouville equations on the sphere via bifurcation theory. pdf-162.png
  • I. S. Labouriau, E. Sovrano, Chaos in periodically forced reversible vector fields. pdf-162.png
  • R. Musina, F. Zuddas, Multiple closed K-magnetic geodesics on S2. pdf-162.png
  • P. Omari, E. Sovrano, Positive solutions of indefinite logistic growth models with flux-saturated diffusion.
  • A. Sfecci, Double resonance in Sturm-Liouville planar boundary value problems. pdf-162.png
  • A. Tellini, Numerical global bifurcation diagrams for a superlinear indefinite problem with a parameter appearing in the domain. pdf-162.png

Publications 2020

  • V. Ambrosio, L. Freddi, R. Musina, Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded. J. Math. Anal. Appl. link-16.png pdf-162.png
  • V. Barutello, A. Boscaggin, W. Dambrosio, On the Minimality of Keplerian Arcs with Fixed Negative Energy. Qual. Theory Dyn. Syst. link-16.png pdf-162.png
  • A. Boscaggin, F. Colasuonno, B. Noris, A priori bounds and multiplicity of positive solutions for p-Laplacian Neumann problems with sub-critical growth, Proc. Roy. Soc. Edinburgh Sect. A link-16.png pdf-162.png
  • A. Boscaggin, F. Colasuonno, B. Noris, Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions, Discrete Contin. Dyn. Syst. Ser. S link-16.png pdf-162.png
  • A. Boscaggin, W. Dambrosio, D. Papini, Periodic solutions to a forced Kepler problem in the plane. Proc. Amer. Math. Soc. link-16.png pdf-162.png
  • A. Boscaggin, G. Feltrin, Pairs of positive radial solutions for a Minkowski-curvature Neumann problem with indefinite weight. Nonlinear Anal. link-16.png pdf-162.png
  • A. Boscaggin, A. Fonda, M. Garrione, An infinite-dimensional version of the Poincaré-Birkhoff theorem on the Hilbert cube, Annali della Scuola Normale di Pisa (in press) pdf-162.png
  • L. Burra, F. Zanolin, Chaos in a Periodically Perturbed Second-Order Equation with Signum Nonlinearity. Internat. J. Bifur. Chaos Appl. Sci. Engrg. link-16.png
  • J. Chu, M. Garrione, F. Gazzola, Stability analysis in some strongly prestressed rectangular plates, Evol. Equ. Control Theory link-16.pngpdf-162.png
  • C. Corsato, C. De Coster, F. Obersnel, P. Omari, Qualitative analysis of a curvature equation modeling MEMS with vertical loads. Nonlinear Anal. Real World Appl.
  • G. Dal Maso, C.J. Larsen, R. Toader, Elastodynamic Griffith fracture on prescribed crack paths with kinks, NoDEA Nonlinear Differential Equations Appl. link-16.png
  • F. Dalbono, M. Franca, A. Sfecci, Multiplicity of ground states for the scalar curvature equation. Ann. Mat. Pura Appl. link-16.png pdf-162.png
  • T. Dondè, Uniform persistence in a prey–predator model with a diseased predator, J. Math. Biol. link-16.png pdf-162.pngpdf-162.png
  • T. Dondè, F. Zanolin, Multiple periodic solutions for one-sided sublinear systems: A refinement of the Poincaré-Birkhoff approach, Topol. Methods Nonlinear Anal. (in press) pdf-162.png
  • G. Feltrin, P. Gidoni, Multiplicity of clines for systems of indefinite differential equations arising from a multilocus population genetics model. Nonlinear Anal. Real World Appl. link-16.png pdf-162.png
  • R. Folino, M. Garrione, M. Strani, Stability properties and dynamics of solutions to viscous conservation laws with mean curvature operator, J. Evolution Equations (in press) link-16.png pdf-162.png
  • A. Fonda, G. Klun, A. Sfecci, Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori. Nonlinear Anal. link-16.png pdf-162.png
  • M. Garrione, F. Gazzola, Linear theory for beams with intermediate piers, Commun. Contemp. Math. (in press) link-16.pngpdf-162.png
  • J. López-Gómez, E. Muñoz-Hernández, F. Zanolin, On the applicability of the Poincaré–Birkhoff twist theorem to a class of planar periodic predator-prey models. Discrete Contin. Dyn. Syst. link-16.png
  • J. López-Gómez, P. Omari, Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator. J. Differential Equations link-16.png
  • J. López-Gómez, P. Omari, Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential. Adv. Nonlinear Stud.
  • G. Klun, On functions having coincident p-norms, Ann. Mat. Pura Appl. (in press) link-16.png
  • C. Mora-Corral, A. Tellini, Relaxation of a scalar nonlocal variational problem with a double-well potential. Calc. Var. Partial Differential Equations link-16.png
  • P. Omari, E. Sovrano, Positive solutions of superlinear indefinite prescribed mean curvature problems. Commun. Contemp. Math.
  • E. Sovrano, How to Construct Complex Dynamics? A Note on a Topological Approach. Internat. J. Bifur. Chaos Appl. Sci. Engrg. link-16.png


Past publications

You can find a list here.

Continue reading “Papers”

Projects

Progetti di Ricerca GNAMPA 2019

  • Il modello di Born-Infeld per l’elettromagnetismo nonlineare: esistenza, regolarità e molteplicità di soluzioni
    P.I.: Francesca Colasuonno. Participants: Alberto Boscaggin, Maurizio Garrione, Benedetta Noris, Alessandro Iacopetti

Past projects

You can find a list here.

Contacts