Guglielmo Feltrin

Preprints

• A. Boscaggin, G. Feltrin, D. Papini, Periodic orbits with prescribed negative energy for relativistic Keplerian problems, submitted.

Published papers

• P. Benevieri, G. Feltrin, Atypical bifurcation for periodic solutions of φ-Laplacian systems Proc. Roy. Soc. Edinburgh Sect. A (to appear).
• P. Benevieri, G. Feltrin, Continuation theorems for periodic systems and applications to problems with nonlinear time-dependent differential operators, J. Differential Equations 476 (2026), part 1, Paper No. 114464, 25 pp.
• A. Boscaggin, G. Feltrin, D. Papini, Bifurcation from periodic solutions of central force problems in the three-dimensional space, J. Differential Equations 470 (2026), Paper No. 114423, 34 pp.
• G. Feltrin, C. Troestler, Uniqueness, non-degeneracy, and exact multiplicity of positive solutions for superlinear elliptic problems, J. Lond. Math. Soc. 113 (2026), no. 2, Paper No. e70476, 27 pp.
• G. Feltrin, J. López-Gómez, J. C. Sampedro, A proof of a conjecture on the multiplicity of positive solutions of an indefinite superlinear problem, J. Differential Equations 463 (2026), Paper No. 114162, 23 pp.
• A. Boscaggin, W. Dambrosio, G. Feltrin, Bifurcation of closed orbits of Hamiltonian systems with application to geodesics of the Schwarzschild metric, SIAM J. Math. Anal. 57 (2025), no. 5, 5531–5569.
• A. Boscaggin, G. Feltrin, D. Papini, Nearly-circular periodic solutions of perturbed relativistic Kepler problems: the fixed-period and the fixed-energy problems, Calc. Var. Partial Differential Equations 64 (2025), no. 2, Paper No. 64, 29 pp.
• G. Feltrin, A. Fonda, A. Sfecci, A Poincaré–Birkhoff theorem for multivalued successor maps with applications to periodic superlinear Hamiltonian systems, J. Fixed Point Theory Appl. 26 (2024), no. 4, Paper No. 61, 23 pp.
• A. Boscaggin, W. Dambrosio, G. Feltrin, Prescribed energy periodic solutions of Kepler problems with relativistic corrections,, Topological Methods for Delay and Ordinary Differential Equations, Adv. Mech. Math., 51. Adv. Contin. Mech. Birkhäuser/Springer, Cham, 2024, 21–41.
• A. Boscaggin, W. Dambrosio, G. Feltrin, Periodic perturbations of central force problems and an application to a restricted 3-body problem, J. Math. Pures Appl. 186 (2024), 31-73.
• G. Feltrin, M. Garrione, Homoclinic and heteroclinic solutions for non-autonomous Minkowski-curvature equations, Nonlinear Anal. 239 (2024), Paper No. 113419, 21 pp.
• A. Boscaggin, G. Feltrin, Multiple positive solutions for nonlinear problems with indefinite weight: an overview of Fabio Zanolin's contributions, Rend. Semin. Mat. Univ. Politec. Torino 81 (2023), no. 1, 105–132.
• A. Boscaggin, G. Feltrin, F. Zanolin, Positive solutions for a Minkowski-curvature equation with indefinite weight and super-exponential nonlinearity, Commun. Contemp. Math. 25 (2023), no. 4, Paper No. 2250005, 20 pp.
• G. Feltrin, J. C. Sampedro, F. Zanolin, Periodic solutions to superlinear indefinite planar systems: a topological degree approach, J. Differential Equations  363 (2023), 546–581.
• G. Feltrin, F. Zanolin, Equilibrium points, periodic solutions and the Brouwer fixed point theorem for convex and non-convex domains, J. Fixed Point Theory Appl. 24 (2022), no. 4, Paper No. 68, 24 pp.
• G. Feltrin, E. Sovrano, A. Tellini, On the number of positive solutions to an indefinite parameter-dependent Neumann problem, Discrete Contin. Dyn. Syst. 42 (2022), no. 1, 21–71.
• A. Boscaggin, W. Dambrosio, G. Feltrin, Periodic solutions to a perturbed relativistic Kepler problem, SIAM J. Math. Anal. 53 (2021), no. 5, 5813–5834.
• A. Boscaggin, W. Dambrosio, G. Feltrin, S. Terracini, Parabolic orbits in Celestial Mechanics: a functional-analytic approach, Proc. Lond. Math. Soc. 123 (2021), no. 2, 203–230.
• G. Feltrin, F. Zanolin, Bound sets for a class of φ-Laplacian operators, J. Differential Equations 297 (2021), 508–535.
• A. Boscaggin, G. Feltrin, F. Zanolin, Uniqueness of positive solutions for boundary value problems associated with indefinite φ-Laplacian type equations, Open Math. 19 (2021), no. 1, 163–183.
• A. Boscaggin, G. Feltrin, E. Sovrano, High multiplicity and chaos for an indefinite problem arising from genetic models, Adv. Nonlinear Stud. 20 (2020), no. 3, 675–699.
• A. Boscaggin, G. Feltrin, Positive periodic solutions to an indefinite Minkowski-curvature equation, J. Differential Equations 269 (2020), no. 7, 5595–5645.
• A. Boscaggin, G. Feltrin, Pairs of positive radial solutions for a Minkowski-curvature Neumann problem with indefinite weight, Nonlinear Anal. 196 (2020), 111807, 14 pp.
• 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. 54 (2020), 103108, 19 pp.
• G. Feltrin, E. Sovrano, F. Zanolin, Periodic solutions to parameter-dependent equations with a φ-Laplacian type operator, NoDEA Nonlinear Differential Equations Appl. 26 (2019), no. 5, Paper No. 38, 27 pp..
• G. Feltrin, E. Sovrano, An indefinite nonlinear problem in population dynamics: high multiplicity of positive solutions, Nonlinearity 31 (2018), no. 9, 4137–4161.
• G. Feltrin, Positive subharmonic solutions to superlinear ODEs with indefinite weight, Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 2, 257–277.
• G. Feltrin, E. Sovrano, Three positive solutions to an indefinite Neumann problem: a shooting method, Nonlinear Anal. 166 (2018), 87–101.
• A. Boscaggin, G. Feltrin, F. Zanolin, Positive solutions for super-sublinear indefinite problems: high multiplicity results via coincidence degree, Trans. Amer. Math. Soc. 370 (2018), no. 2, 791–845.
• A. Boscaggin, G. Feltrin, Positive subharmonic solutions to nonlinear ODEs with indefinite weight, Commun. Contemp. Math. 20 (2018), no. 1, 1750021, 26 pp.
• G. Feltrin, F. Zanolin, An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators, Topol. Methods Nonlinear Anal. 50 (2017), no. 2, 683–726.
• G. Feltrin, A note on a fixed point theorem on topological cylinders, Ann. Mat. Pura Appl. 196 (2017), no. 4, 1441–1458.
• G. Feltrin, Multiple positive solutions of a Sturm-Liouville boundary value problem with conflicting nonlinearities, Commun. Pure Appl. Anal. 16 (2017), no. 3, 1083–1102.
• G. Feltrin, F. Zanolin, Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree, J. Differential Equations 262 (2017), no. 8, 4255–4291.
• A. Boscaggin, G. Feltrin, F. Zanolin, Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case, Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 3, 449–474.
• G. Feltrin, Existence of positive solutions of a superlinear boundary value problem with indefinite weight, Discrete Contin. Dyn. Syst. 2015, Dynamical systems, differential equations and applications. 10th AIMS Conference. Suppl. 436-445.
• G. Feltrin, F. Zanolin, Existence of positive solutions in the superlinear case via coincidence degree: the Neumann and the periodic boundary value problems, Adv. Differential Equations 20 (2015), no. 9-10, 937–982.
• G. Feltrin, F. Zanolin, Multiple positive solutions for a superlinear problem: a topological approach, J. Differential Equations 259 (2015), no. 3, 925–963.

Book

• G. Feltrin, Positive solutions to indefinite problems: a topological approach, Frontiers in Mathematics, Birkhäuser/Springer, Cham, 2018, xxviii+304 pp.

Prefaces

• A. Boscaggin, W. Dambrosio, G. Feltrin, D. Papini, Preface [Special issue on the career of Fabio Zanolin], Rend. Semin. Mat. Univ. Politec. Torino 81 (2023), no. 1, 5.
• V. Barutello, A. Boscaggin, G. M. Canneori, F. Colasuonno, W. Dambrosio, G. Feltrin, Preface, Rend. Semin. Mat. Univ. Politec. Torino 78 (2020), no. 2, 5.

Theses

• G. Feltrin, Positive solutions to indefinite problems: a topological approach, Ph.D. thesis, SISSA (International School for Advanced Studies), Supervisor: Prof. Fabio Zanolin.
• G. Feltrin, Fixed point index, Krasnosel'skii theorems and existence of positive, Master thesis, University of Udine, Advisor: Prof. Fabio Zanolin.
• G. Feltrin, The mathematical foundations of the electromagnetic theory, Bachelor thesis, University of Udine, Advisor: Dr. Stefano Ansoldi.

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