Andrea Cianchi

Applied Mathematics · 2000–2020

A researcher in the Science corpus: 27 papers; trusts 46 researchers and is trusted by 62 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 212 citations into it; #165 of 7,620 by trust here, #159 by citations
• Computational Theory and Mathematics — 130 citations into it; #648 of 12,182 by trust here, #1,101 by citations
• Mathematical Physics — 91 citations into it; #1,142 of 8,562 by trust here, #851 by citations
• Geometry and Topology — 27 citations into it; #5,012 of 7,422 by trust here, #3,547 by citations
• Numerical Analysis — 16 citations into it
• Computational Mechanics — 10 citations into it; #5,305 of 10,001 by trust here, #8,566 by citations
• Mechanics of Materials — 10 citations into it; #1,134 of 6,291 by trust here, #2,477 by citations

Whom Andrea Cianchi trusts overall

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

1. Giuseppe Mingione
2. Frank Duzaar
3. Vladimir G. Maz'ya
4. N. Fusco
5. Paolo Baroni
6. Luigi Ambrosio
7. V. Ferone
8. Francesco Maggi
9. Ron Kerman
10. Dario Cordero-Erausquin

Who trusts Andrea Cianchi overall

1. Iwona Chlebicka
2. Nguyen Huong Lam
3. Cristina Tarsi
4. Christoph Haberl
5. Robert J. Berman
6. Giulio Ciraolo
7. Cristiana De Filippis
8. Giuseppe Mingione
9. Alessio Figalli
10. G. Lu

Papers from Andrea Cianchi's perspective

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

1. Brunn-Minkowski inequality
2. Geometric Measure Theory
3. Bounds for the singular set of solutions to non linear elliptic systems
4. A singular minimizer of a smooth strongly convex functional in three dimensions
5. Local Lipschitz regularity for degenerate elliptic systems
6. The sharp quantitative isoperimetric inequality
7. The Singular Set of Solutions to Non-Differentiable Elliptic Systems
8. A boundary estimate for nonlinear equations with discontinuous coefficients (Differential and Integral Equations)
9. A mass transportation approach to quantitative isoperimetric inequalities
10. Global regularity for almost minimizers of nonconvex variational problems

Their papers

• Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems (2012) — 154 citations
• Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations (2010) — 175 citations
• Global gradient estimates in elliptic problems under minimal data and domain regularity (2014) — 50 citations
• Overdetermined anisotropic elliptic problems (2009) — 166 citations
• Moser-trudinger inequalities without boundary conditions and isoperimetric problems (2005) — 82 citations
• Moser–Trudinger trace inequalities (2008) — 65 citations
• Local boundedness of minimizers of anisotropic functionals (2000) — 70 citations
• Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems (2017) — 110 citations
• A fully anisotropic Sobolev inequality (2000) — 90 citations
• Symmetrization in Anisotropic Elliptic Problems (2007) — 78 citations
• Fractional Orlicz-Sobolev embeddings (2020) — 86 citations
• Fully anisotropic elliptic problems with minimally integrable data (2019) — 48 citations
• Optimal second-order regularity for the p-Laplace system (2018) — 63 citations
• Quasilinear elliptic problems with general growth and merely integrable, or measure, data (2017) — 61 citations
• Pointwise Calderón–Zygmund gradient estimates for the p -Laplace system (2015) — 55 citations
• Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems (2014) — 92 citations
• Higher-order Sobolev embeddings and isoperimetric inequalities (2013) — 78 citations
• On the isoperimetric deficit in Gauss space (2011) — 105 citations
• The sharp Sobolev inequality in quantitative form (2009) — 171 citations
• Optimal Gaussian Sobolev embeddings (2009) — 50 citations