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Gigli N, Mondino A. A PDE approach to nonlinear potential theory. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. 2013 ;100:505–534.
Ambrosio L, Di Marino S, Gigli N. Perimeter as relaxed Minkowski content in metric measure spaces. NONLINEAR ANALYSIS [Internet]. 2017 ;153:78–88. Available from: https://doi.org/10.1016/j.na.2016.03.010
Gigli N. Propriétés géométriques et analytiques de certaines structures non lisses. [Internet]. 2011 . Available from: http://tel.archives-ouvertes.fr/tel-00769381
Gigli N, Suzuki K, Vincini S. Pyramids for infinite product spaces. 2025 .
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Debin C, Gigli N, Pasqualetto E. Quasi-continuous vector fields on RCD spaces.; 2019.
Debin C, Gigli N, Pasqualetto E. Quasi-Continuous Vector Fields on RCD Spaces. POTENTIAL ANALYSIS [Internet]. 2021 ;54:183–211. Available from: https://arxiv.org/abs/1903.04302
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Gigli N, Rigoni C. Recognizing the flat torus among RCD*(0 , N) spaces via the study of the first cohomology group. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS [Internet]. 2018 ;57:1–39. Available from: https://link.springer.com/article/10.1007%2Fs00526-018-1377-z
Gigli N, Rigoni C. Recognizing the flat torus among RCD*(0,N) spaces via the study of the first cohomology group. Calculus of Variations and Partial Differential Equations [Internet]. 2018 ;57:104. Available from: https://doi.org/10.1007/s00526-018-1377-z
Gigli N. On the regularity of harmonic maps from RCD(K,N) to CAT(0) spaces and related results. Ars Inveniendi Analytica [Internet]. 2023 . Available from: https://arxiv.org/abs/2204.04317
Gigli N. Riemann curvature tensor on RCD spaces and possible applications. COMPTES RENDUS MATHÉMATIQUE. 2019 ;357:613–619.
Ambrosio L, Gigli N, Mondino A, Rajala T. Riemannian Ricci curvature lower bounds in metric measure spaces with sigma-finite measure. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2015 ;367:4661–4701. Available from: https://arxiv.org/abs/1207.4924
Gigli N, Ketterer C, Kuwada K, Ohta S-I. Rigidity for the spectral gap on rcd(K, ∞)-spaces. AMERICAN JOURNAL OF MATHEMATICS. 2020 ;142:1559–1594.
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Gigli N. Second Order Analysis on (P-2(M), W-2). MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2012 ;216:1–173. Available from: http://www.ams.org/books/memo/1018/
Gigli N, Tamanini L. Second order differentiation formula on compact RCD*(K,N) spaces.; 2017.
Gigli N, Tamanini L. Second order differentiation formula on RCD(K, N) spaces. Rendiconti Lincei-Matematica e Applicazioni. 2018 ;29:377–386.
Gigli N, Tamanini L. Second order differentiation formula on RCD*(K,N) spaces.; 2018.
Gigli N, Tamanini L. Second order differentiation formula on RCD(K,N) spaces. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI [Internet]. 2018 ;29:377–386. Available from: https://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=29&iss=2&rank=10
Gigli N, Tamanini L. Second order differentiation formula on RCD∗(K;N) spaces. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY [Internet]. 2021 ;23:1727–1795. Available from: https://arxiv.org/abs/1802.02463
Gigli N, Han B-X. Sobolev spaces on warped products. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2018 ;275:2059–2095. Available from: https://www.sciencedirect.com/science/article/pii/S0022123618301381?via%3Dihub
Gigli N. The splitting theorem in non-smooth context.; 2013. Available from: http://preprints.sissa.it/handle/1963/35306
Gigli N, Vincini S. Stability of the heat flow under convergence in concentration and consequences. 2024 .
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Gigli N, Veit M, Kotiuga M, Pizzi G, Marzari N, Ceriotti M. Thermodynamics and dielectric response of BaTiO3 by data-driven modeling. NPJ COMPUTATIONAL MATERIALS. 2022 ;8:1–17.
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Ambrosio L, Gigli N. A user's guide to optimal transport. In: Modelling and Optimisation of Flows on Networks : Cetraro, Italy 2009. Vol. 2062. Modelling and Optimisation of Flows on Networks : Cetraro, Italy 2009. HEIDELBERG, DORDRECHT, LONDON: Springer-Verlag BERLIN-HEIDELBERG; 2013. pp. 1–155. Available from: https://link.springer.com/book/10.1007%2F978-3-642-32160-3
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Gigli N, Mosconi S. A variational approach to the Navier-Stokes equations. BULLETIN DES SCIENCES MATHEMATIQUES. 2012 ;136:256–276.
Gigli N, Tamanini L, Trevisan D. Viscosity Solutions of Hamilton–Jacobi Equation in RCD(K,∞) Spaces and Applications to Large Deviations. POTENTIAL ANALYSIS [Internet]. 2024 . Available from: https://arxiv.org/abs/2203.11701

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