معرفی
Guglielmo Feltrin is an Associate Professor in Mathematical Analysis at the Department of Mathematics, Computer Science and Physics, University of Udine, Italy. He is actively engaged in research in nonlinear analysis, differential equations, and dynamical systems.
- Position: Associate Professor
- Institution: University of Udine
- Department: Department of Mathematics, Computer Science and Physics
His research focuses on topological methods for nonlinear boundary value problems, particularly those involving indefinite weights, superlinear nonlinearities, and ϕ-Laplacian operators. He applies coincidence degree theory and fixed point theorems to establish existence, multiplicity, and uniqueness of positive solutions. His work bridges pure mathematics with applications in population dynamics, celestial mechanics, and relativistic physics.
The recent articles of Guglielmo Feltrin reveal a strong trend in the study of nonlinear ordinary differential equations with indefinite weight functions, Minkowski-curvature operators, and relativistic corrections. His research frequently employs topological degree methods and bifurcation theory to analyze periodic solutions, equilibrium points, and orbital dynamics in both classical and relativistic settings. There is a growing emphasis on applications to celestial mechanics, including Kepler problems and geodesics in Schwarzschild spacetime.
No scientific awards are mentioned in the provided texts.
Guglielmo Feltrin has extensive collaborative research, particularly with Alberto Boscaggin, Fabio Zanolin, and Walter Dambrosio. His work has been supported by various research grants, though specific funding sources are not detailed. He has authored 38 publications since 2015, including a book and multiple arXiv preprints, indicating sustained research productivity.
He is involved in research teams focused on nonlinear analysis and dynamical systems at the University of Udine. His work contributes to the broader mathematical community through zbMATH, ORCID, and ResearchGate profiles, and he maintains an institutional homepage for academic outreach.
