Pengfei Guan

Applied Mathematics · 2002–2019

A researcher in the Science corpus: 18 papers; trusts 14 researchers and is trusted by 49 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 24 citations into it; #231 of 7,620 by trust here, #248 by citations
• Geometry and Topology — 22 citations into it; #636 of 7,422 by trust here, #788 by citations
• Mathematical Physics — 6 citations into it; #4,699 of 8,562 by trust here, #3,335 by citations
• Astronomy and Astrophysics — 5 citations into it; #2,992 of 10,964 by trust here, #6,397 by citations
• Computational Theory and Mathematics — 5 citations into it; #1,881 of 12,182 by trust here, #2,851 by citations

Whom Pengfei Guan trusts overall

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

1. Bo Guan
2. Xinan Ma
3. Ben Andrews
4. F. Schulze
5. Shing-Tung Yau
6. Baojun Bian
7. Clarissa-Marie Claudel
8. Changshou Lin
9. Junfang Li
10. Xu-jia Wang

Who trusts Pengfei Guan overall

1. Xinan Ma
2. Changyu Ren
3. Guofang Wang
4. Luis Caffarelli
5. Zhizhang Wang
6. Changshou Lin
7. A. V. Kolesnikov
8. Chao Xia
9. Junfang Li
10. Duong H. Phong

Papers from Pengfei Guan's perspective

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

1. Convex hypersurfaces of prescribed curvature
2. The Christofel‐Minkowski problem III: Existence and convexity of admissible solutions
3. The motion of a surface by its mean curvature
4. The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*
5. Differential Geometry in the Large
6. Pinching estimates and motion of hypersurfaces by curvature functions
7. An Estimate of the Gap of the First Two Eigenvalues in the Schr
8. The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
9. The inverse mean curvature flow and the Riemannian Penrose Inequality
10. SECOND-ORDER ESTIMATES AND REGULARITY FOR FULLY NONLINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS

Their papers

• The Christoffel-Minkowski problem I: Convexity of solutions of a Hessian equation (2003) — 280 citations
• A microscopic convexity principle for nonlinear partial differential equations (2008) — 117 citations
• A class of curvature type equations. (2019) — 53 citations
• Interior C2 regularity of convex solutions to prescribing scalar curvature equations (2017) — 63 citations
• Flow by powers of the Gauss curvature (2016) — 95 citations
• A volume preserving flow and the isoperimetric problem in warped product spaces (2016) — 65 citations
• A Mean Curvature Type Flow in Space Forms (2013) — 142 citations
• Global C2‐Estimates for Convex Solutions of Curvature Equations (2013) — 145 citations
• Entropy and a convergence theorem for Gauss curvature flow in high dimension (2013) — 102 citations
• Hypersurfaces of prescribed curvature measure (2011) — 124 citations
• The Existence of Convex Body with Prescribed Curvature Measures (2009) — 83 citations
• The quermassintegral inequalities for k-convex starshaped domains (2009) — 221 citations
• A constant rank theorem for solutions of fully nonlinear elliptic equations (2007) — 81 citations
• The Christoffel-Minkowski Problem II: Weingarten Curvature Equations* (2006) — 72 citations
• The Christofel‐Minkowski problem III: Existence and convexity of admissible solutions (2006) — 79 citations
• Schouten tensor and some topological properties (2005) — 51 citations
• Convex hypersurfaces of prescribed curvature (2002) — 168 citations
• The extremal function associated to intrinsic norms (2002) — 55 citations