Publications

The results established by the members of this project will give rise to publications, which will be listed in this page.

In any paper, preprint and form of dissemination, the following text is included: “This research is supported by PRIN 2022 F4F2LH - CUP J53D23003610006, Regularity problems in sub-Riemannian structures” .

• Montanari A., Morbidelli D.
  Sub-Riemannian cut time and cut locus in Reiter-Heisenberg groups.
  (2024)
  arXiv:2312.14771 ESAIM: COCV, Forthcoming article DOI: https://doi.org/10.1051/cocv/2024058
• Baldi A., Tripaldi F.
  Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates.
  (2024) arXiv:2407.14316
  «ADVANCED NONLINEAR STUDIES», 2025, 25, pp. 1079 - 1111 [articolo]Open Access https://cris.unibo.it/handle/11585/1011648
• Baldi A., Franchi B., Pansu P.
  Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications.
  (2024) arXiv:2403.16602 
  «COMMUNICATIONS IN CONTEMPORARY MATHEMATICS», 2025, 27, Article number: 2550023, pp. 1 - 53  https://cris.unibo.it/handle/11585/1007185
• Cupini G., Marcellini P., Mascolo E.
  Regularity for Nonuniformly Elliptic Equations with p,q-Growth and Explicit x,u-Dependence.
  ARCH. RAT. MECH. ANAL., 2024, 248, pp. 1-45
  https://doi-org.ezproxy.unibo.it/10.1007/s00205-024-01982-0
• Baldi A., Franchi B., Pansu P.
  Primitives of volume forms in Carnot groups
  arXiv:/2410.06592
   «ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI», 2024, 35, pp. 597 - 617, published online first, pp. 1 - 21 [articolo]Open Access https://cris.unibo.it/handle/11585/1015634
  
• Cupini G., Marcellini P., Mascolo E.
  The Leray-Lions existence theorem under general growth conditions
  Journal of Differential Equations  416 (2025), 1405-1428
  https://doi.org/10.1016/j.jde.2024.10.025
• Cupini, G., Lanconelli, E.
  On the Harmonic Characterization Of The Spheres: A Sharp Stability Inequality
  Potential Anal (2025), 63, pp. 1181-1207
  https://doi.org/10.1007/s11118-025-10200-9
• Cupini, G., Lanconelli, E.
  On the characterization of the harmonic pseudospheres via Kuran’s functions and single-layer potentials.
  Bruno Pini Mathematical Analysis Seminar, 15(1), 187–195
  https://doi.org/10.6092/issn.2240-2829/21062
• P. Ambrosio, G. Cupini, E. Mascolo
  Regularity of vectorial minimizers for non-uniformly elliptic anisotropic integrals
  preprint 2025 arXiv:2503.18917
  NONLINEAR ANAL., 2025, 261, Article number: 113897, pp. 1-18
  DOI: https://doi.org/10.1016/j.na.2025.113897
• C.E. Gutiérrez, A. Montanari
  Differentiability of monotone maps related to non quadratic costs
  Nonlinear Analysis, Volume 257, 2025, 113804, ISSN 0362-546X
  https://doi.org/10.1016/j.na.2025.113804
• Cristian E. Gutiérrez, Annamaria Montanari
  Fine properties of monotone maps arising in optimal transport for non-quadratic costs
  Analysis and Geometry in Metric Spaces 2025; 13: 20250023
  https://doi.org/10.1515/agms-2025-0023 
• Baldi, Annalisa; Rosa, Alessandro
  L^p-Hodge decomposition with Sobolev classes in sub-Riemannian contact manifolds
  «JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS», 2025, 552, Article number: 129739, pp. 1 - 36 https://cris.unibo.it/handle/11585/1016914
• P. Ambrosio, A.G. Grimaldi, A. Passarelli di Napoli
  On the second-order regularity of solutions to widely singular or degenerate elliptic equations
  preprint 2025, arXiv:2401.13116
  ANNALI DI MATEMATICA, 2025
  
• Michele Circelli, Giovanna Citti
  Transport densities and congested optimal transport problem in the Heisenberg group
  Journal of Mathematical Analysis and Applications, vol. 555, no. 2, 2026, pp. 1-28, https://doi.org/10.1016/j.jmaa.2025.130148.
• Michele Circelli, Albert Clop
  A continuous model of transportation in the Heisenberg group
   Advances in Calculus of Variations, vol. 18, no. 4, 2025, pp. 1223-1251. https://doi.org/10.1515/acv-2024-0119 
• Biagi, S.; Cupini, G.; Mascolo, E.
  Local boundedness for solutions of a class of non-uniformly elliptic anisotropic problems
  NONLINEAR ANAL., 2026, 262, Article number: 113915, pp. 1-14
• Bonfiglioli, A.; Citti, G.; Cupini, G.; Kogoj, A. E.; Manfredini, M.; Montanari, A.; Morbidelli, D.; Pascucci, A.; Polidoro, S.; Tralli, G.; Uguzzoni, F.
  An introduction to “Second Order Subelliptic PDEs”: the scientific work of Ermanno Lanconelli
  ANAL. GEOM. IN METRIC SPACES, 2025, 13, pp. 1-13
• Cupini, G.; Marcellini, P.
  Global boundedness of weak solutions to a class of nonuniformly elliptic equations
  MATH. ANN., 2025, 392, pp. 1519–1539
• Cupini, G.; Lanconelli, E.
  On the Harmonic Characterization Of The Spheres: A Sharp Stability Inequality
   POTENTIAL ANAL., 2025, 63, pp. 1181-1207
• Baldi, A; Franchi, B
   A BOURGAIN-BREZIS'S DUALITY ARGUMENT FOR CONTINUOUS PRIMITIVES
   «BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR», 2024, 15, pp. 38 - 59 [articolo]Open Access
• Annamaria Mongtanari, Daniele Morbidelli
  New properties of length-extremals in free step-2 rank-4 Carnot groups
   Ricerche di Matematica (2026)
  https://link.springer.com/article/10.1007/s11587-026-01054-3
• Circelli, M., Citti, G., & Clop, A. (2026).
  Lipschitz regularity for solutions to an orthotropic $ q $-Laplacian-type equation in the Heisenberg group.
  Accepted for publication in "Advances in Differential Equations". arXiv preprint arXiv:2407.07548
• Circelli, M. (2025).
  Gradient estimates for an orthotropic nonlinear diffusion equation in the Heisenberg group.
  Preprint. arXiv preprint arXiv:2505.01354
• Ambrosio, P. ; Ciani, S.
  Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations
  RICERCHE MAT, 75, 2026, pp. 561-579
• Cupini, G.; Marcellini, P.
  Global boundedness weak solutions with finite energy to a general class of Dirichlet problems
  arXiv:2512.19224
• G. Landi, A. Scaravelli, M.C. Tesi, C. Testa
  Spreading of pathological proteins through brain networks: a case study for Alzheimer’s disease
  

  arXiv:submit/7383780 [math.AP] 19 Mar 2026