Members


Alberto Boscaggin – Assistant Professor, Università degli Studi di Torino

Chiara Corsato – Postdoc, Università degli Studi di Trieste

Tobia Dondè – PhD graduate

Guglielmo Feltrin – Assistant Professor, Università degli Studi di Udine

Alessandro Fonda – Full Professor, Università degli Studi di Trieste

Anna Chiara Gallo – former PhD student

Maurizio Garrione – Assistant Professor, Politecnico di Milano

Paolo Gidoni – Researcher, Czech Academy of Sciences, Praga

Oltiana Gjata – PhD Student, Università degli Studi di Udine
 Aleks Jevnikar – Assistant Professor, Università degli Studi di Udine
 Giuliano Klun – PhD Student, SISSA
 Roberta Musina – Full Professor, Università degli Studi di Udine
 Franco Obersnel – Associate Professor, Università degli Studi di Trieste
 Pierpaolo Omari – Full Professor, Università degli Studi di Trieste
 Duccio Papini – Associate Professor, Università degli Studi di Udine
 Andrea Sfecci – Assistant Professor, Università degli Studi di Trieste
 Elisa Sovrano – Postdoc, CNRS, CAMS – EHESS, Paris
 Andrea Tellini – Assistant Professor, Università Politécnica de Madrid
 Rodica Toader – Associate Professor, Università degli Studi di Udine
 Fabio Zanolin – Full Professor, Università degli Studi di Udine

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 uptodate with the latest research products of its members:
DEG1 Webinars
Events of interest
[workshop, school] Brescia Winter School on Reaction Diffusion PDE’s and Optimization
Brescia, 1315 Jan 2020
[school] Mathematical Modelling of Ecological and Socioeconomic Systems
Senegal, 2731 Jan 2020
[workshop] Nonlinear Meeting in Milan 2020
Milano, 3031 Jan 2020
[school] ICELMECH Training School
Milano, 37 Feb 2020
[workshop] 11^{th} Conference DSABNS
Trento, 47 Feb 2020
[workshop] The 13^{th} AIMS Conference on Dynamical Systems, Differential Equations and Applications
Atlanta (US), 59 Jun 2020
[workshop] XX CEDYA Conferencia de ecuciones diferenciales y aplicaciones
Gijón (Spain), 1519 Jun 2020
[workshop] 8^{th} European Congress of Mathematics
Portorož (Slovenia), 511 July 2020
[school] Modern Aspects of Dynamical Systems (CIME course)
Cetraro (CS), 2024 July 2020
[workshop] Differential Equations and Applications
Brno (Czech Republic), 710 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), 49 Oct 2020
[workshop] DS21 – SIAM Conference on Applications of Dynamical Systems
Portland (US), 2327 May 2021
[conference] ICM 2022 – International Congress of Mathematicians
Saint Petersburg (Russia), 614 July 2022
Papers
Preprints
 W. Ao, A. Jevnikar, W. Yang, Wave equations associated to Liouvilletype problems: global existence in time and blow up criteria.
 W. Ao, A. Jevnikar, W. Yang, Blow up solutions for SinhGordon equation with residual mass.
 D. Bartolucci, A. Jevnikar, On the global bifurcation diagram of the Gel’fand problem.
 V. Barutello, A. Boscaggin, W. Dambrosio, On the minimality of Keplerian arcs with fixed negative energy.
 A. Boscaggin, F. Colasuonno, B. Noris, Multiplicity of solutions for the Minkowskicurvature equation via shooting method.
 A. Boscaggin, W. Dambrosio, G. Feltrin, S. Terracini, Parabolic arcs for timedependent perturbations of the Kepler problem.
 A. Boscaggin, G. Feltrin, Positive periodic solutions to an indefinite Minkowskicurvature equation.
 A. Boscaggin, G. Feltrin, Pairs of positive radial solutions for a Minkowskicurvature Neumann problem with indefinite weight.
 A. Boscaggin, G. Feltrin, E. Sovrano, High multiplicity and chaos for an indefinite problem arising from genetic models.
 T. Dondè, F. Zanolin, Multiple periodic solutions for a Duffing type equation with onesided sublinear nonlinearity: Beyond the PoincaréBirkhoff twist theorem.
 G. Feltrin, P. Gidoni, Multiplicity of clines for systems of indefinite differential equations arising from a multilocus population genetics model.
 A. Fonda, A logarithmic spiral in the complex plane interpolating between the exponential and the circular functions.
 A. Fonda, P. Gidoni, Coupling linearity and twist: an extension of the Poincaré–Birkhoff Theorem for Hamiltonian systems.
 A. Fonda, G. Klun, A. Sfecci, Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinitedimensional tori.
 A. Fonda, J. Mawhin, M. Willem, Multiple periodic solutions of infinitedimensional pendulumlike equations.
 A. Fonda, R. Toader, Subharmonic solutions of weakly coupled Hamiltonian systems.
 M. Garrione, Vanishing diffusion limits for planar fronts in bistable models with saturation.
 A. Jevnikar, A. Malchiodi, R. Wu, Existence results for a superLiouville equation on compact surfaces.
 R. Musina, F. Zuddas, Multiple closed Kmagnetic geodesics on S2.
 A. Sfecci, Double resonance in SturmLiouville planar boundary value problems.
 E. Sovrano, F. Zanolin, The AmbrosettiProdi periodic problem: different routes to complex dynamics.
Publications 2020
 A. Boscaggin, F. Colasuonno, B. Noris, A priori bounds and multiplicity of positive solutions for pLaplacian Neumann problems with subcritical growth, Proc. Roy. Soc. Edinburgh Sect. A (in press)
 A. Boscaggin, F. Colasuonno, B. Noris, Positive radial solutions for the Minkowskicurvature equation with Neumann boundary conditions, Discrete Contin. Dyn. Syst. Ser. S
 A. Boscaggin, W. Dambrosio, D. Papini, Periodic solutions to a forced Kepler problem in the plane. Proc. Amer. Math. Soc.
 J. Chu, M. Garrione, F. Gazzola, Stability analysis in some strongly prestressed rectangular plates, Evol. Equ. Control Theory
 A. Boscaggin, A. Fonda, M. Garrione, An infinitedimensional version of the PoincaréBirkhoff theorem on the Hilbert cube, Annali della Scuola Normale di Pisa (in press)
 G. Dal Maso, C.J. Larsen, R. Toader, Elastodynamic Griffith fracture on prescribed crack paths with kinks, NoDEA Nonlinear Differential Equations Appl.
 T. Dondè, F. Zanolin, Multiple periodic solutions for onesided sublinear systems: A refinement of the PoincaréBirkhoff approach, Topol. Methods Nonlinear Anal. (in press)
 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)
 M. Garrione, F. Gazzola, Linear theory for beams with intermediate piers, Commun. Contemp. Math. (in press)
 G. Klun, On functions having coincident pnorms, Ann. Mat. Pura Appl. (in press)
Publications 2019
 F. Alessio, P. Montecchiari, A. Sfecci, Saddle solutions for a class of systems of periodic and reversible semilinear elliptic equations, Netw. Heterog. Media.
 S. Arlot, S. Marmi, D. Papini, Coupling the YoccozBirkeland population model with price dynamics: chaotic livestock commodities market cycles, Nonlinearity
 D. Bartolucci, C. Gui, A. Jevnikar, A. Moradifam, A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouvilletype equations. Math. Ann.
 D. Bartolucci, A. Jevnikar, Y. Lee, W. Yang, Local uniqueness of mbubbling sequences for the Gelʹfand equation. Comm. Partial Differential Equations
 D. Bartolucci, A. Jevnikar, Y. Lee, W. Yang, Uniqueness of bubbling solutions of mean field equations. J. Math. Pures Appl.
 D. Bartolucci, A. Jevnikar, C.S. Lin, Nondegeneracy and uniqueness of solutions to singular mean field equations on bounded domains. J. Differential Equations
 A. Boscaggin, M. Garrione, A counterexample to a priori bounds under the AhmadLazerPaul condition, Rend. Istit. Mat. Univ. Trieste
 A. Boscaggin, M. Garrione, Pairs of nodal solutions for a Minkowskicurvature boundary value problem in a ball. Commun. Contemp. Math.
 A. Boscaggin, R. Ortega, L. Zhao, Periodic solutions and regularization of a Kepler problem with timedependent perturbation. Trans. Amer. Math. Soc.
 C. Corsato, C. De Coster, N. Flora, P. Omari, Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry, Nonlinear Anal.
 C. Corsato, R. Pelessoni, P. Vicig, NearlyLinear uncertainty measures, Internat. J. Approx. Reason.
 F. Dalbono, M. Franca, A. Sfecci, Multiplicity of ground states for the scalar curvature equation, Ann. Mat. Pura Appl.
 G. Dal Maso, C.J. Larsen, R. Toader, Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition, J. Math. Pures Appl.
 G. Dal Maso, R. Toader, On the Cauchy problem for the wave equation on timedependent domains, J. Differential Equations
 T. Dondè, Uniform persistence in a prey–predator model with a diseased predator, J. Math. Biol.
 G. Feltrin, E. Sovrano, F. Zanolin, Periodic solutions to parameterdependent equations with a φLaplacian type operator, NoDEA Nonlinear Differential Equations Appl.
 A. Fonda, Generalizing the LusternikSchnirelmann critical point theorem. Bull. Lond. Math. Soc.
 A. Fonda, A generalization of the parallelogram law to higher dimensions, Ars Math. Contemp.
 A. Fonda, R. Toader, Subharmonic solutions of Hamiltonian systems displaying some kind of sublinear growth. Adv. Nonlinear Anal.
 A. Fonda, A. J. Ureña, A PoincaréBirkhoff theorem for Hamiltonian flows on nonconvex domains. J. Math. Pures Appl.
 A. Fonda, G. Klun, On the topological degree of planar maps avoiding normal cones. Topol. Methods Nonlinear Anal.
 A. C. Gallo, Periodic solutions of perturbed central Hamiltonian systems, NoDEA Nonlinear Differential Equations Appl.
 M. Garrione, A. Margheri, C. Rebelo, Nonautonomous nonlinear ODEs: Nonresonance conditions and rotation numbers, J. Math. Anal. Appl.
 M. Garrione, F. Gazzola, Nonlinear Equations for Beams and Degenerate Plates with Piers, SpringerBriefs in Applied Sciences and Technology
 M. Garrione, M. Strani, Heteroclinic traveling fronts for a generalized FisherBurgers equation with saturating diffusion, Indiana Univ. Math. J.
 M. Garrione, M. Strani, Monotone wave fronts for (p,q)Laplacian driven reactiondiffusion equations, Discrete Contin. Dyn. Syst. Ser. S
 P. Gidoni, G.B. Maggiani, R. Scala, Existence and regularity of solutions for an evolution model of perfectly plastic plates, Commun. Pure Appl. Anal.
 P. Gidoni, A. Margheri, Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems, Discrete Contin. Dyn. Syst.
 A. Jevnikar, W. Yang, A mean field equation involving positively supported probability measures: blowup phenomena and variational aspects. Proc. Roy. Soc. Edinburgh Sect. A
 J. LópezGómez, P. Omari, Global components of positive bounded variation solutions of a onedimensional indefinite quasilinear Neumann problem, Adv. Nonlinear Stud.
 J. Mawhin, G. Villari, F. Zanolin, Existence and nonexistence of limit cycles for Liénard prescribed curvature equations, Nonlinear Anal.
 R. Musina, A.I. Nazarov, A note on truncations in fractional Sobolev spaces. Bull. Math. Sci.
 R. Musina, A.I. Nazarov, Fractional Hardy–Sobolev inequalities on half spaces, Nonlinear Anal.
 R. Musina, A.I. Nazarov, Strong maximum principles for fractional Laplacians. Proc. Roy. Soc. Edinburgh Sect. A
 R. Musina, F. Zuddas, Embedded loops in the hyperbolic plane with prescribed, almost constant curvature. Ann. Global Anal. Geom.
 D. Papini, G. Villari, F. Zanolin, Chaotic dynamics in a periodically perturbed Liénard system, Diff. Int. Equ.
 A. Sfecci, On the structure of radial solutions for some quasilinear elliptic equations, J. Math. Anal. Appl.
 A. Tellini, Comparison among several planar fisherKPP roadfield systems, in Contemporary Research in Elliptic PDEs and Related Topics,
Springer INDAM Series
Past publications
You can find a list here.
Projects
Progetti di Ricerca GNAMPA 2019

Il modello di BornInfeld 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.