Welcome to my homepage!

I am a Postdoc in the research group Multiscale Calculus of Variations led by Elisa Davoli at the Institute of Analysis and Scientific Computing of TU Wien (Vienna).

Research Interests

My research focuses on variational problems arising in Physics and Materials Science, using mathematical techniques from the theory of Calculus of Variations and Partial Differential Equations.

Some of the current research topics are:

Variational analysis in Micromagnetics
Nonlocal-to-local analysis
Multiscale problems
Dislocation Theory

You can check my CVGMT profile here: cvgmt: Rossella Giorgio (sns.it)

Publications and Preprints

E. Davoli, G. Di Fratta, R. Giorgio. A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions. SIAM Journal on Mathematical Analysis. (2024) https://doi.org/10.1137/24M1632577
G. Di Fratta, R. Giorgio, L. Lombardini. Nonlocal Micromagnetics: Compactness Criteria, Existence of Minimizers and Brown's Fundamental Theorem. (2025) Submitted. arXiv:2502.05532
R. Giorgio, L. Happ, H. Schönberger. Homogenization of nonlocal exchange energies in micromagnetics. (2025) Accepted paper: SIAM Journal on Mathematical Analysis (SIMA). arXiv:2507.13262
E. Davoli, G. Di Fratta, R. Giorgio, A. Pinamonti. Necessary and Sufficient Conditions for the Maz'ya-Shaposhnikova Formula in (Fractional) Sobolev Spaces. (2025) Submitted. arXiv:2509.23226

Upcoming Research Activities

Seminar at GSSI Analysis & PDE Seminar, Gran Sasso Science Institute, L'Aquila, Italy (April 08, 2026)
Invited speaker at Variational Models in Materials Science IV, University of Naples Federico II, Complesso San Marcellino, Italy (June 23 - 25, 2026)

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