Gianmaria Verzini

Applied Mathematics · 2002–2021

A researcher in the Science corpus: 11 papers; trusts 28 researchers and is trusted by 27 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 37 citations into it; #738 of 7,620 by trust here, #461 by citations
• Mathematical Physics — 35 citations into it; #2,372 of 8,562 by trust here, #1,020 by citations
• Computational Theory and Mathematics — 20 citations into it; #5,157 of 12,182 by trust here, #3,339 by citations
• Statistical and Nonlinear Physics — 12 citations into it; #6,064 of 10,127 by trust here, #3,735 by citations
• Control and Systems Engineering — 10 citations into it

Whom Gianmaria Verzini trusts overall

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

1. Monica Conti
2. Jun-cheng Wei
3. Luis Caffarelli
4. S. Terracini
5. Thomas Bartsch
6. Tai-Chia Lin
7. A. Ambrosetti
8. Nicola Soave
9. Enrico Valdinoci
10. Tobias Weth

Who trusts Gianmaria Verzini overall

1. Bernard Helffer
2. S. Terracini
3. Monica Conti
4. Nicola Soave
5. Luis Caffarelli
6. Thomas Bartsch
7. Kelei Wang
8. Edward Norman Dancer
9. Zhitao Zhang
10. Jun-cheng Wei

Papers from Gianmaria Verzini's perspective

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

1. Asymptotic estimates for the spatial segregation of competitive systems
2. Standing waves of some coupled nonlinear Schrödinger equations
3. Some new monotonicity theorems with applications to free boundary problems
4. Ground State of N Coupled Nonlinear Schrödinger Equations in Rn,n≤3
5. Spikes in Two-component Systems of Nonlinear Schrodinger Equations with Trapping Potentials
6. An Extension Problem Related to the Fractional Laplacian
7. Normalized ground states for the NLS equation with combined nonlinearities: The Sobolev critical case (Journal of Functional Analysis)
8. Positive solutions of nonlinear problems involving the square root of the Laplacian
9. A variational problem for the spatial segregation of reaction-diffusion systems
10. Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations

Their papers

• An optimal partition problem related to nonlinear eigenvalues (2003) — 158 citations
• Fractional diffusion with Neumann boundary conditions: the logistic equation (2012) — 74 citations
• On a class of optimal partition problems related to the Fučík spectrum and to the monotonicity formulae (2003) — 114 citations
• Normalized solutions of mass supercritical Schrödinger equations with potential (2020) — 154 citations
• Normalized solutions to mass supercritical Schrödinger equations with negative potential (2021) — 78 citations
• Stable solitary waves with prescribed $L^2$-mass for the cubic Schr\"odinger system with trapping potentials (2014) — 94 citations
• Existence and orbital stability of the ground states with prescribed mass for the $L^2$-critical and supercritical NLS on bounded domains (2013) — 146 citations
• Multipulse Phases in k-Mixtures of Bose–Einstein Condensates (2008) — 159 citations
• Asymptotic estimates for the spatial segregation of competitive systems (2005) — 198 citations
• A variational problem for the spatial segregation of reaction-diffusion systems (2003) — 166 citations
• Nehari's problem and competing species systems (2002) — 183 citations