Francesco Uguzzoni
Applied Mathematics · 2002–2010
A researcher in the Science corpus: 6 papers; trusts 3 researchers and is trusted by 18 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 10 citations into it; #1,630 of 7,620 by trust here, #1,285 by citations
Whom Francesco Uguzzoni trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
Who trusts Francesco Uguzzoni overall
- L. D’Ambrosio
- Annunziata Loiudice
- Bruno Franchi
- Giovanna Citti
- Veronique Fischer
- Wendong Wang
- Giovanni Mancini
Papers from Francesco Uguzzoni's perspective
Ordered by how strongly the researchers Francesco Uguzzoni trusts endorse each paper. Same corpus, a different order for every researcher.
- The CR Yamabe conjecture the case n = 1
- Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature
- Weighted $p(\cdot)$-Poincar\'e and Sobolev inequality]{Weighted $% p(\cdot )$-Poincar\'{e} and Sobolev inequalities for vector fields satisfiying H\"{o}rmander's condition and applications
- Regularity near the characteristic set in the non-linear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups
- Nonlinear Liouville theorems for Grushin and Tricomi operators
- Uniform Gaussian estimates for the fundamental solutions for heat operators on Carnot groups (Advances in Differential Equations)
- An Extension Problem Related to the Fractional Laplacian
- Convex functions on the Heisenberg group
- Properly embedded and immersed minimal surfaces in the Heisenberg group (Bulletin of the Australian Mathematical Society)
- An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
Their papers
- Stratified Lie groups and potential theory for their sub-Laplacians (2007) — 900 citations
- Nonlinear Liouville theorems for some critical problems on H-type groups (2004) — 62 citations
- Fundamental solutions for non-divergence form operators on stratified groups (2003) — 47 citations
- Non-divergence equations structured on Hörmander vector fields: heat kernels and Harnack inequalities (2010) — 70 citations
- Uniform Gaussian estimates for the fundamental solutions for heat operators on Carnot groups (2002) — 77 citations
- A perturbation result for the Webster scalar curvature problem on the CR sphere (2002) — 75 citations