Alberto Farina

Applied Mathematics · 2005–2021

A researcher in the Science corpus: 18 papers; trusts 29 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 72 citations into it; #541 of 7,620 by trust here, #699 by citations
• Computational Theory and Mathematics — 61 citations into it; #836 of 12,182 by trust here, #1,557 by citations
• Mathematical Physics — 35 citations into it; #3,115 of 8,562 by trust here, #2,795 by citations
• Control and Systems Engineering — 7 citations into it
• Geometry and Topology — 7 citations into it

Whom Alberto Farina trusts overall

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

1. Lucio Damascelli
2. Berardino Sciunzi
3. Henghui Zou
4. Enrico Valdinoci
5. Luigi Ambrosio
6. Roberta Filippucci
7. J. Serrin
8. Giovanni S. Alberti
9. F. Brock
10. Henri Berestycki

Who trusts Alberto Farina overall

1. Chao Wang
2. Enrico Valdinoci
3. D. Ye
4. Lucio Damascelli
5. Berardino Sciunzi
6. Luigi Montoro
7. Manuel del Pino
8. A. Ros
9. Jun-cheng Wei
10. J. D'avila

Papers from Alberto Farina's perspective

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

1. Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities
2. One-dimensional symmetry of bounded entire solutions of some elliptic equations
3. Bernstein and De Giorgi type problems: new results via a geometric approach
4. On the classification of solutions of the Lane-Emden equation on unbounded domains of Rn
5. The Maximum Principle
6. Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result
7. On a Long-Standing Conjecture of E. De Giorgi: Symmetry in 3D for General Nonlinearities and a Local Minimality Property
8. Regularity, monotonicity and symmetry of positive solutions of m-Laplace equations
9. A priori estimates and existence for quasi-linear elliptic equations
10. Remarks on a Finsler-Laplacian

Their papers

• On the classification of solutions of the Lane-Emden equation on unbounded domains of Rn (2007) — 368 citations
• Flattening Results for Elliptic PDEs in Unbounded Domains with Applications to Overdetermined Problems (2010) — 121 citations
• Remarks on an overdetermined boundary value problem (2008) — 100 citations
• CHAPTER 2 – Liouville-Type Theorems for Elliptic Problems (2007) — 75 citations
• Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces (2012) — 47 citations
• Liouville results for m-Laplace equations of Lane―Emden―Fowler type (2009) — 123 citations
• Stable solutions of -Δu = eu on RN (2007) — 106 citations
• 1D symmetry for solutions of semilinear and quasilinear elliptic equations (2011) — 50 citations
• Interior regularity results for inhomogeneous anisotropic quasilinear equations (2021) — 60 citations
• Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs☆ (2014) — 54 citations
• Entire solutions of completely coercive quasilinear elliptic equations, II (2011) — 65 citations
• Monotonicity and one-dimensional symmetry for solutions of −Δpu = f(u) in half-spaces (2011) — 48 citations
• Partial regularity of finite Morse index solutions to the Lane–Emden equation (2011) — 63 citations
• Stable solutions of -Au = f(u) in -N (2010) — 62 citations
• THE STATE OF THE ART FOR A CONJECTURE OF DE GIORGI AND RELATED PROBLEMS (2009) — 100 citations
• Bernstein and De Giorgi type problems: new results via a geometric approach (2008) — 167 citations
• On the classification of solutions of $-\Delta u= e^u$ on $\mathbb {R}^N$: Stability outside a compact set and applications (2008) — 48 citations
• Liouville-type results for solutions of −Δu=|u|p−1u on unbounded domains of RN (2005) — 49 citations