Nicola Garofalo

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 16 papers; trusts 84 researchers and is trusted by 44 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 215 citations into it; #355 of 7,620 by trust here, #303 by citations
• Computational Theory and Mathematics — 82 citations into it; #1,515 of 12,182 by trust here, #2,351 by citations
• Geometry and Topology — 77 citations into it; #2,137 of 7,422 by trust here, #1,369 by citations
• Mathematical Physics — 57 citations into it; #1,543 of 8,562 by trust here, #1,838 by citations
• Astronomy and Astrophysics — 34 citations into it; #3,179 of 10,964 by trust here, #6,667 by citations
• Modeling and Simulation — 12 citations into it; #1,731 of 2,105 by trust here, #1,933 by citations
• Finance — 9 citations into it
• Computational Mechanics — 5 citations into it

Whom Nicola Garofalo trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Scott D. Pauls
2. Luis Caffarelli
3. Luigi Ambrosio
4. Nicola Gigli
5. Xavier Ros-Oton
6. Hui Yu
7. Luis Silvestre
8. Karl‐Theodor Sturm
9. D. Bakry
10. I. Athanasopoulos

Who trusts Nicola Garofalo overall

1. D. Danielli
2. Scott D. Pauls
3. Manuel Ritor'e
4. Annunziata Loiudice
5. Jih-Hsin Cheng
6. Luca Capogna
7. Arshak Petrosyan
8. Andrea Bonfiglioli
9. Herbert Koch
10. D. Nhieu

Papers from Nicola Garofalo's perspective

Ordered by how strongly the researchers Nicola Garofalo trusts endorse each paper. Same corpus, a different order for every researcher.

1. An Extension Problem Related to the Fractional Laplacian
2. Financial Modelling with Jump Processes
3. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
4. A Convexity Principle for Interacting Gases
5. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
6. Geometric Measure Theory
7. Ricci curvature of Markov chains on metric spaces
8. Topics in Optimal Transportation
9. Finsler interpolation inequalities
10. Rectifiable sets in metric and Banach spaces

Their papers

• Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem (2008) — 127 citations
• The Bernstein Problem in the Heisenberg Group (2002) — 76 citations
• An epiperimetric inequality approach to the regularity of the free boundary in the Signorini problem with variable coefficients (2015) — 48 citations
• A Notable Family of Entire Intrinsic Minimal Graphs in the Heisenberg Group which are not Perimeter Minimizing (2006) — 57 citations
• Fractional thoughts (2017) — 122 citations
• Monotonicity of generalized frequencies and the strong unique continuation property for fractional parabolic equations (2017) — 63 citations
• Li–Yau and Harnack type inequalities in RCD∗(K,N) metric measure spaces (2013) — 76 citations
• Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem (2013) — 55 citations
• Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries (2011) — 215 citations
• A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality (2010) — 102 citations
• Non-doubling Ahlfors Measures, Perimeter Measures, And the Characterization of the Trace Spaces of Sobolev Functions in Carnot-caratheodory Spaces (2006) — 96 citations
• Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1 (2006) — 80 citations
• Sub-Riemannian calculus on hypersurfaces in Carnot groups (2006) — 137 citations
• Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type (2003) — 73 citations
• Notions of Convexity in Carnot Groups (2003) — 139 citations
• Regularity near the characteristic set in the non-linear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups (2000) — 101 citations