stefano.borghini_at_unina.it
stefano.borghini_at_unina.it
MAIN RESEARCH TOPICS (MORE DETAILS HERE):
Static metrics in General Relativity,
Overdetermined boundary value problems in the Euclidean space.
PUBLICATIONS:
Borghini S., A gluing formula for Reidemeister-Turaev torsion. Annali di Matematica Pura ed Applicata (1923-) 194(5): 1535–1561, 2015. doi:10.1007/s10231-014-0433-3
Borghini S., Mazzieri L., On the mass of static metrics with positive cosmological constant: I. Classical and Quantum Gravity 35(12), 2018. doi:10.1088/1361-6382/aac081
Borghini S., Mascellani G., Mazzieri L., Some Sphere Theorems in Linear Potential Theory. Transactions of the American Mathematical Society. 371(11): 7757–7790, 2019. doi:10.1090/tran/7637
Borghini S., Mazzieri L., Monotonicity formulas for static metrics with non-zero cosmological constant. In: Dipierro S. (eds) Contemporary Research in Elliptic PDEs and Related Topics. Springer INdAM Series, vol 33. Springer, Cham, 2019. doi:10.1088/1361-6382/aac081
Borghini S., Mazzieri L., On the mass of static metrics with positive cosmological constant - II. Communications in Mathematical Physics 377(3): 2079-2158, 2020. doi:10.1007/s00220-020-03739-8
Borghini S., Static Black Hole Uniqueness for nonpositive masses. Nonlinear Analysis. 220: 112843, 2022. doi:10.1016/j.na.2022.112843
Borghini S., Symmetry results for Serrin-type problems in doubly connected domains. Mathematics in Engineering. 5(2), 1-16, 2022. doi:10.3934/mine.2023027
Borghini S., Mazzieri L., Counterexamples to a divergence lower bound for the covariant derivative of skew-symmetric 2-tensor fields. Annals of Global Analysis and Geometry. 63(18), 2023. doi:10.1007/s10455-023-09896-y
Borghini S., Mazzieri L., Chruściel P.T., On the uniqueness of Schwarzschild-de Sitter spacetime. Archive for Rational Mechanics and Analysis. 247, 2023. doi:10.1007/s00205-023-01860-1.
Borghini S., Fogagnolo M., Pinamonti A., The equality case in the substatic Heintze-Karcher inequality. Archive for Rational Mechanics and Analysis. 2024. doi:10.1007/s00205-024- 02022-7.
Borghini S., Cederbaum C., Cogo A., Black Hole and Equipotential Photon Surface Uniqueness in Four-Dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes. Annales Henry Poincaré. 2024. doi:10.1007/s00023-024-01514-2.
Agostiniani V., Borghini S., Mazzieri L., On the Serrin problem for ring-shaped domains. Journal of the European Mathematical Society. 2025. doi:10.4171/jems/1422.
PREPRINTS:
Borghini S., Fogagnolo M., Comparison geometry for substatic manifolds and a weighted isoperimetric inequality (2023).
Agostiniani V., Bernardini C., Borghini S., Mazzieri L., On the Serrin problem for ring-shaped domains: the n-dimensional case (2025).