Massimiliano Berti

Statistical and Nonlinear Physics · 2001–2022

A researcher in the Science corpus: 16 papers; trusts 29 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 69 citations into it; #800 of 10,127 by trust here, #1,293 by citations
• Mathematical Physics — 41 citations into it; #1,660 of 8,562 by trust here, #1,658 by citations
• Numerical Analysis — 28 citations into it; #1,164 of 3,586 by trust here, #1,221 by citations
• Atomic and Molecular Physics, and Optics — 26 citations into it; #2,693 of 7,135 by trust here, #5,903 by citations
• Computational Theory and Mathematics — 19 citations into it
• Applied Mathematics — 12 citations into it; #2,698 of 7,620 by trust here, #2,377 by citations
• Environmental Chemistry — 6 citations into it

Whom Massimiliano Berti trusts overall

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

1. Jean Bourgain
2. Sergei B. Kuksin
3. P. Bolle
4. Michela Procesi
5. Dario Bambusi
6. C. Procesi
7. Jiansheng Geng
8. Ivar Ekeland
9. L. Eliasson
10. Jianjun Liu

Who trusts Massimiliano Berti overall

1. P. Bolle
2. Michela Procesi
3. Pierre Baldi
4. C. Procesi
5. Bambusi D
6. Ivar Ekeland
7. Riccardo Montalto
8. Livia Corsi
9. Louis Jeanjean
10. R. Feola

Papers from Massimiliano Berti's perspective

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

1. KAM for the nonlinear Schrödinger equation
2. Green's Function Estimates for Lattice Schrödinger Operators and Applications.
3. A KAM Theorem for Hamiltonian Partial Differential Equations in Higher Dimensional Spaces
4. Birkhoff Normal Form for Some Nonlinear PDEs
5. An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
6. Cantor families of periodic solutions for completely resonant nonlinear wave equations
7. KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation
8. Multiplicity of periodic solutions of nonlinear wave equations
9. An abstract Nash-Moser theorem with parameters and applications to PDEs
10. Analysis of Hamiltonian PDEs

Their papers

• Time quasi-periodic vortex patches of Euler equation in the plane (2022) — 53 citations
• Time quasi-periodic gravity water waves in finite depth (2017) — 161 citations
• KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation (2014) — 187 citations
• KAM for autonomous quasi-linear perturbations of mKdV (2014) — 126 citations
• An Abstract Nash–Moser Theorem and Quasi-Periodic Solutions for NLW and NLS on Compact Lie Groups and Homogeneous Manifolds (2013) — 110 citations
• Quasi-periodic solutions with Sobolev regularity of NLS on $\mathbb {T}^d$ with a multiplicative potential (2013) — 114 citations
• KAM for Reversible Derivative Wave Equations (2012) — 113 citations
• Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces (2011) — 65 citations
• Branching of Cantor Manifolds of Elliptic Tori and Applications to PDEs (2011) — 81 citations
• An abstract Nash-Moser theorem with parameters and applications to PDEs (2010) — 84 citations
• Sobolev Periodic Solutions of Nonlinear Wave Equations in Higher Spatial Dimensions (2010) — 65 citations
• Quasi-periodic solutions with Sobolev regularity of NLS on T^d with a multiplicative potential (2010) — 90 citations
• Multiplicity of periodic solutions of nonlinear wave equations (2004) — 58 citations
• Cantor families of periodic solutions for completely resonant nonlinear wave equations (2004) — 82 citations
• Periodic Solutions of Nonlinear Wave Equations with General Nonlinearities (2002) — 86 citations
• Non-compactness and multiplicity results for the Yamabe problem on Sn (2001) — 48 citations