Juan J. Manfredi

Applied Mathematics · 2000–2012

A researcher in the Science corpus: 12 papers; trusts 16 researchers and is trusted by 33 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 35 citations into it; #631 of 7,620 by trust here, #461 by citations
• Computational Theory and Mathematics — 17 citations into it; #1,485 of 12,182 by trust here, #1,748 by citations
• Control and Systems Engineering — 6 citations into it
• Geometry and Topology — 6 citations into it; #3,532 of 7,422 by trust here, #3,547 by citations

Whom Juan J. Manfredi trusts overall

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

1. Yuval Peres
2. Scott Sheffield
3. A. Domokos
4. M. Crandall
5. Mikko Parviainen
6. Oded Schramm
7. Hitoshi Ishii
8. Julio D. Rossi
9. Changyou Wang
10. Thomas Bieske

Who trusts Juan J. Manfredi overall

1. Mikko Parviainen
2. Nikolaos S. Papageorgiou
3. Hannes Luiro
4. Vesa Julin
5. Giuseppe Mingione
6. G. Lu
7. B. Kawohl
8. Petri Juutinen
9. Julio D. Rossi
10. Valentino Magnani

Papers from Juan J. Manfredi's perspective

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

1. Tug-of-war and the infinity Laplacian
2. A deterministic-control-based approach to motion by curvature (Viscosity Solution Theory of Differential Equations and its Developments)
3. User’s guide to viscosity solutions of second order partial differential equations
4. ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
5. The infinity Laplacian, Aronsson’s equation and their generalizations
6. EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM*
7. Tug-of-war with noise: A game-theoretic view of the $p$-Laplacian
8. Convex functions on the Heisenberg group
9. An asymptotic mean value characterization for p-harmonic functions
10. Viscosity convex functions on carnot groups

Their papers

• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS (2000) — 354 citations
• Regularity results for quasilinear elliptic equations in the Heisenberg group (2007) — 92 citations
• Convex functions on the Heisenberg group (2003) — 110 citations
• An asymptotic mean value characterization for p-harmonic functions (2010) — 163 citations
• On the definition and properties of p-harmonious functions (2012) — 149 citations
• Dynamic Programming Principle for tug-of-war games with noise (2012) — 75 citations
• Solutions of nonlinear PDEs in the sense of averages (2012) — 76 citations
• The Neumann problem for the ∞∞-Laplacian and the Monge–Kantorovich mass transfer problem (2007) — 61 citations
• Convex functions on Carnot groups. (2007) — 48 citations
• Fundamental solution for the Q-Laplacian and sharp Moser–Trudinger inequality in Carnot groups (2003) — 51 citations
• A VERSION OF THE HOPF-LAX FORMULA IN THE HEISENBERG GROUP (2002) — 48 citations
• On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation (2001) — 318 citations