Email: garofalo AT math.purdue.edu, garofalo AT dmsa.unipd.it

Available papers (14):

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• F. Dragoni - N. Garofalo - G. Giovannardi - P. Salani (preprint)
  A fundamental solution for a subelliptic operator in Finsler geometry (2024)
• F. Dragoni - N. Garofalo - P. Salani (Journal of the LMS)
  Starshapedeness for fully-nonlinear equations in Carnot groups (2018)
• N. Garofalo - A. Mondino (Accepted Paper: Nonlinear Analysis TMA)
  Li-Yau and Harnack type inequalities in $RCD^*(K,N)$ metric measure spaces (2013)
• D. Danielli - N. Garofalo - D. M. Nhieu (Accepted Paper: Comm. in Analysis and Geometry)
  Notions of convexity in Carnot groups (2003)
• D. Danielli - N. Garofalo - D. M. Nhieu (Accepted Paper: Memoirs Amer. Math. Soc.)
  Non-doubling Ahlfors measures, Perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces (2003)
• L. Capogna - N. Garofalo (Submitted Paper)
  Ahlfors regularity in Carnot-Carathéodory spaces (2003)
• N. Garofalo - S. Pauls (Submitted Paper)
  The Bernstein problem in the Heisenberg group (2002)
• D. Danielli - N. Garofalo - D. M. Nhieu (Preprint)
  Minimal surfaces, surfaces of constant mean curvature and isoperimetry in Carnot groups (2002)
• D. Danielli - N. Garofalo - D. M. Nhieu (Accepted Paper: Proc. of the Amer. Math. Soc.)
  On the best possible character of the $L^Q$ norm in some a priori estimates for non-divergence form equations in Carnot groups (2002)
• D. Danielli - N. Garofalo - D. M. Nhieu (Accepted Paper: Communications in Analysis and Geometry)
  Notions of convexity in Carnot groups (2002)
• D. Danielli - N. Garofalo - S. Salsa (Accepted Paper: Indiana University Math J)
  Variational inequalities with lack of ellipticity. Part I: optimal interior regularity and non-degeneracy of the free boundary (2001)
• D. Danielli - N. Garofalo (Preprint)
  Green functions in nonlinear potential theory in Carnot groups and the geometry of their level sets (2001)
• L. Capogna - N. Garofalo (Accepted Paper: Journal of the European Mathematical Society)
  Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type (2001)
• D. Danielli - N. Garofalo (Accepted Paper: Calculus of Variations)
  Properties of entire solutions of non-uniformly elliptic equations arising in geometry and in phase transitions (2001)

Speaker:

• 2 jun 2024 - 8 jun 2024: First Chinese-Italian Workshop on Elliptic PDEs and Variational Problems
• 10 feb 2020 - 12 feb 2020: Dispersive and subelliptic PDEs
• 24 jun 2019 - 26 jun 2019: Singular Nonlinear Problems in Calculus of Variations and PDEs
• 16 apr 2019 - 17 apr 2019: Some topics of Geometric Analysis and Geometric Measure Theory
• 29 may 2018 - 30 may 2018: New trends in PDE
• 29 may 2018 - 30 may 2018: New trends in PDEs
• 18 sep 2017 - 20 sep 2017: 4th Conference on Recent Trends in Nonlinear Phenomena
• 16 may 2017 - 17 may 2017: Scientific Meeting "PDE's and Nonlinear Elasticity"
• 27 may 2013 - 31 may 2013: Geometric methods in PDE’s: Indam Meeting in occasion of the 70th birthday of Ermanno Lanconelli
• 10 oct 2011 - 14 oct 2011: ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces