Donatella Danielli

Donatella Danielli (born 1966)

• National Science Foundation CAREER Award
  (2003)
• Simons Fellow in Mathematics (2014)[5]
• Fellow of the American Mathematical Society since 2017 "for contributions to partial differential equations and geometric measure theory, and for service to the mathematical community".^[6]
• Fellow of the Association for Women in Mathematics since 2020 for "her generous and consistent involvement in, and remarkable impact on, a large number of excellent local, national, and international initiatives to support interest and involvement of women in mathematics at all levels; and for remarkable, pioneering contributions positioning her as a role model for more junior mathematicians, particularly women".^[7]

Selected publications

Books

• Capogna, Luca, et al. An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem. Vol. 259. Springer Science & Business Media, 2007.^[8]

Papers

• Danielli, Donatella (1995). "Regularity at the boundary for solutions of nonlinear subelliptic equations". Indiana University Mathematics Journal. 44 (1): 269–286.
  doi:10.1512/iumj.1995.44.1988
  .
• Capogna, Luca; Danielli, Donatella; Garofalo, Nicola (1996). "Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations".
  S2CID 120651754
  .
• Danielli, Donatella; Petrosyan, Arshak (2005). "A minimum problem with free boundary for a degenerate quasilinear operator". Calculus of Variations and Partial Differential Equations. 23 (1): 97–124.
  doi:10.1007/s00526-004-0294-5
  .
• Danielli, Donatella; Garofalo, Nicola; Nhieu, Duy-Minh (2006). "Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot–Carathéodory spaces". Memoirs of the American Mathematical Society. 182 (857).
  doi:10.1090/memo/0857
  .
• Danielli, Donatella, ed. (2007). Recent developments in nonlinear partial differential equations. Proceedings of the 2nd Symposium on Analysis and PDEs held at Purdue University, June 7–10, 2004. Contemporary Mathematics. Vol. 439. American Mathematical Society, Providence, RI.
  doi:10.1090/memo/0857
  .
• Capogna, Luca; Danielli, Donatella; Pauls, Scott D. (2007). Tyson, Jeremy T. (ed.). An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem. Progress in Mathematics. Vol. 259. Birkhäuser Verlag, Basel.
  ISBN 978-3-7643-8132-5
  .
• Danielli, Donatella; Garofalo, Nicola; Petrosyan, Arshak (2007). "The sub-elliptic obstacle problem: ${\displaystyle C^{1,\alpha }}$ regularity of the free boundary in Carnot groups of step two".
  doi:10.1016/j.aim.2006.08.008
  .
• Danielli, Donatella; Garofalo, Nicola; Nhieu, Duy-Minh (2007). "Sub-Riemannian calculus on hypersurfaces in Carnot groups".
  doi:10.1016/j.aim.2007.04.004
  .
• Danielli, Donatella; Garofalo, Nicola; Nhieu, Duy-Minh; Pauls, Scott D. (2009). "Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1".
  doi:10.4310/jdg/1231856262
  .