Giovanni S. Alberti

Applied Mathematics · 2001–2018

A researcher in the Science corpus: 12 papers; trusts 17 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 35 citations into it; #935 of 7,620 by trust here, #732 by citations
• Computational Theory and Mathematics — 20 citations into it; #1,715 of 12,182 by trust here, #1,529 by citations
• Mathematical Physics — 14 citations into it; #1,629 of 8,562 by trust here, #1,071 by citations
• Geometry and Topology — 11 citations into it
• Control and Systems Engineering — 5 citations into it; #8,236 of 8,257 by trust here, #6,417 by citations

Whom Giovanni S. Alberti trusts overall

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

1. Luigi Ambrosio
2. Gianluca Crippa
3. L. De Pascale
4. Wolfgang Hackbusch
5. Robert L. Jerrard
6. Didier Bresch
7. David Bate
8. D. Pallara
9. Jean Bourgain
10. Camillo De Lellis

Who trusts Giovanni S. Alberti overall

1. Etienne Sandier
2. X. Cabré
3. Guido De Philippis
4. Sylvia Serfaty
5. Andrea Braides
6. Luigi Ambrosio
7. Alberto Farina
8. Filip Rindler
9. Yannick Sire
10. Enrico Valdinoci

Papers from Giovanni S. Alberti's perspective

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

1. Transport equation and Cauchy problem for BV vector fields
2. On two-dimensional Hamiltonian transport equations with continuous coefficients (Differential and Integral Equations)
3. Functions of Bounded Variation and Free Discontinuity Problems
4. On two-dimensional hamiltonian transport equations with Llocp coefficients
5. A lemma and a conjecture on the cost of rearrangements
6. Estimates and regularity results for the DiPerna-Lions flow
7. Geometric Measure Theory
8. Functions of bounded higher variation
9. The Morse-Sard Theorem in Sobolev spaces
10. Fourier Analysis and Nonlinear Partial Differential Equations

Their papers

• On a Long-Standing Conjecture of E. De Giorgi: Symmetry in 3D for General Nonlinearities and a Local Minimality Property (2001) — 198 citations
• A new approach to variational problems with multiple scales (2001) — 107 citations
• A uniqueness result for the continuity equation in two dimensions (2014) — 85 citations
• Uniform energy distribution for an isoperimetric problem with long-range interactions (2008) — 140 citations
• Differentiability of Lipschitz functions, structure of null sets, and other problems (2011) — 58 citations
• Variational convergence for functionals of Ginzburg-Landau type. (2005) — 159 citations
• Loss of Regularity for the Continuity Equation with Non-Lipschitz Velocity Field (2018) — 48 citations
• On the differentiability of Lipschitz functions with respect to measures in the Euclidean space (2014) — 79 citations
• Exponential self-similar mixing and loss of regularity for continuity equations (2014) — 47 citations
• Structure of level sets and Sard-type properties of Lipschitz maps (2013) — 99 citations
• Structure of null sets in the plane and applications (2005) — 62 citations
• Functions with prescribed singularities (2003) — 84 citations