Daniele Valtorta

Applied Mathematics · 2011–2015

A researcher in the Science corpus: 6 papers; trusts 6 researchers and is trusted by 12 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 14 citations into it; #1,056 of 7,620 by trust here, #1,828 by citations
• Geometry and Topology — 9 citations into it
• Mathematical Physics — 7 citations into it; #1,245 of 8,562 by trust here, #2,038 by citations

Whom Daniele Valtorta trusts overall

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

1. D. Bakry
2. Jeff Cheeger
3. A. Naber
4. Zhongmin Qian
5. L. Esposito
6. T. Toro
7. Carlo Nitsch
8. Ondrej Doslý

Who trusts Daniele Valtorta overall

1. Ben Andrews
2. A. Naber
3. Fabio Cavalletti
4. Guofang Wang
5. Andrea Mondino
6. Chao Xia
7. Jeff Cheeger
8. V. Ferone
9. Shouhei Honda
10. Wenshuai Jiang

Papers from Daniele Valtorta's perspective

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

1. Lower bounds on Ricci curvature and quantitative behavior of singular sets
2. Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature☆
3. Sharp estimate on the first eigenvalue of the p-Laplacian
4. Best constants in Poincaré inequalities for convex domains
5. Reifenberg Parameterizations for Sets with Holes
6. First eigenvalue for the p -Laplace operator
7. Critical Sets of Elliptic Equations
8. Geometric Measure Theory
9. The size of the singular set in mean curvature flow of mean-convex sets
10. The motion of a surface by its mean curvature

Their papers

• Critical Sets of Elliptic Equations (2012) — 101 citations
• Rectifiable-Reifenberg and the Regularity of Stationary and Minimizing Harmonic Maps (2015) — 129 citations
• The singular structure and regularity of stationary varifolds (2015) — 72 citations
• Volume Estimates on the Critical Sets of Solutions to Elliptic PDEs (2014) — 76 citations
• Sharp estimates on the first eigenvalue of the $$p$$p-Laplacian with negative Ricci lower bound (2012) — 71 citations
• Sharp estimate on the first eigenvalue of the p-Laplacian (2011) — 95 citations