Petri Juutinen

Applied Mathematics · 2001–2011

A researcher in the Science corpus: 9 papers; trusts 22 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 35 citations into it; #757 of 7,620 by trust here, #713 by citations
• Computational Theory and Mathematics — 27 citations into it; #1,903 of 12,182 by trust here, #2,629 by citations
• Mathematical Physics — 11 citations into it; #3,950 of 8,562 by trust here, #6,178 by citations

Whom Petri Juutinen trusts overall

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

1. M. Crandall
2. Hitoshi Ishii
3. M. Belloni
4. G. Aronsson
5. Changyou Wang
6. B. Kawohl
7. Valentino Magnani
8. Pierre-Louis Lions
9. Yuval Peres
10. Juan J. Manfredi

Who trusts Petri Juutinen overall

1. M. Crandall
2. T. Bhattacharya
3. G. Aronsson
4. Robert V. Kohn
5. S. Armstrong
6. Gonzalo Dávila
7. Ahmed Mohammed
8. Scott Sheffield
9. Peter Lindqvist
10. Yuval Peres

Papers from Petri Juutinen's perspective

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

1. User’s guide to viscosity solutions of second order partial differential equations
2. EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM*
3. ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
4. A remark on infinity-harmonic functions.
5. Optimal Lipschitz extensions and the infinity laplacian
6. Extension of range of functions
7. ABSOLUTELY MINIMIZING LIPSCHITZ EXTENSIONS ON A METRIC SPACE
8. Analytic Extensions of Differentiable Functions Defined in Closed Sets
9. Geometric Measure Theory
10. An Efficient Derivation of the Aronsson Equation

Their papers

• A TOUR OF THE THEORY OF ABSOLUTELY MINIMIZING FUNCTIONS (2004) — 385 citations
• Principal eigenvalue of a very badly degenerate operator and applications (2007) — 70 citations
• On the evolution governed by the infinity Laplacian (2006) — 88 citations
• A New Proof for the Equivalence of Weak and Viscosity Solutions for the p-Laplace Equation (2011) — 96 citations
• Convex functions on Carnot groups. (2007) — 48 citations
• On the higher eigenvalues for the $\infty$-eigenvalue problem (2005) — 55 citations
• ON THE HIGHER EIGENVALUES FOR THE ∞-EIGENVALUE PROBLEM (2004) — 97 citations
• ABSOLUTELY MINIMIZING LIPSCHITZ EXTENSIONS ON A METRIC SPACE (2002) — 74 citations
• On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation (2001) — 318 citations