Yu Yuan

Applied Mathematics · with Warren · 2001–2017

A researcher in the Science corpus: 9 papers; trusts 11 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 17 citations into it; #681 of 7,620 by trust here, #1,057 by citations
• Geometry and Topology — 14 citations into it; #4,211 of 7,422 by trust here, #3,547 by citations
• Computational Theory and Mathematics — 5 citations into it; #1,385 of 12,182 by trust here, #3,033 by citations

Whom Yu Yuan trusts overall

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

1. Micah W. Warren
2. Kai-Seng Chou
3. Jingyi Chen
4. Nikolai Nadirashvili
5. Dake Wang
6. Xu-jia Wang
7. J. Bao
8. S. Vladuts
9. F. R. Harvey

Who trusts Yu Yuan overall

1. Dake Wang
2. Micah W. Warren
3. Dongsheng Li
4. Albert Chau
5. Jingyi Chen
6. Tristan C. Collins
7. F. R. Harvey
8. Zhisu Li
9. Mu-Tao Wang
10. Nikolai Nadirashvili

Papers from Yu Yuan's perspective

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

1. A variational theory of the Hessian equation
2. Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase
3. A Bernstein problem for special Lagrangian equations
4. Dirichlet duality and the nonlinear Dirichlet problem
5. A Bernstein type theorem for self-similar shrinkers
6. A priori estimates for solutions of fully nonlinear special lagrangian equations
7. A priori estimate for convex solutions to special Lagrangian equations and its application
8. Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems
9. The analysis of harmonic maps and their heat flows
10. User’s guide to viscosity solutions of second order partial differential equations

Their papers

• A priori estimates for solutions of fully nonlinear special lagrangian equations (2001) — 48 citations
• A Bernstein problem for special Lagrangian equations (2002) — 142 citations
• Hessian and gradient estimates for three dimensional special Lagrangian equations with large phase (2008) — 61 citations
• A priori estimate for convex solutions to special Lagrangian equations and its application (2009) — 56 citations
• A Bernstein problem for special Lagrangian equations in exterior domains (2017) — 46 citations
• Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems (2011) — 58 citations
• Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions (2011) — 90 citations
• Rigidity of entire self-shrinking solutions to curvature flows (2010) — 53 citations
• Hessian estimates for the sigma‐2 equationin dimension 3 (2009) — 90 citations