- C. Chen, P. Guan, J. Li and J. Scheuer, A fully-nonlinear flow and quermassintegral inequalities in the sphere

to appear in Pure and Applied Math Quarterly. - P. Guan and J. Li, Isoperimetric type inequalities and hypersurface flows

Journal of Mathematical Study, 54 (2021), no. 1, 56–80. - P. Guan and X. Zhang, A class of curvature type equations

Pure and Applied Math Quarterly, Vol. 17, No. 3 (2021), pp. 865-907. - P. Guan and G. Qiu, Interior C2 regularity of convex solutions to prescribing scalar curvature equations

Duke Math. Journal, V. 168 (2019), 1641-1663. - P. Guan, J. Li and M. Wang, A Volume Preserving Flow and the Isoperimetric Problem in Warped Product Spaces

TAMS, Vol. 372, (2019), 2777-2798. (DOI: https://doi.org/10.1090/tran/7661 ). - P. Guan and C. Xia, Lp Christoffel-Minkowski problem: the case 1\le p\le k+1,

Calculus of Variations and PDE, Volume 57 (2018) art. 69, 23pp. (DOI 10.1007/s00526-018-1341-y). - P. Guan and J. Li, A fully-nonlinear flow and quermassintegral inequalities,

Science China, Mathematica, V. 48, (2018), 147-156. - P. Guan, and S. Lu, Curvature estimates for immersed hypersurfaces in Riemannian manifolds,

Inventiones Mathematicae, V.208, (2017), 191-215. - B. Andrews, P. Guan, and L. Ni, Flow by power of the Gauss curvature,

Advances in Mathematics, V. 299, (2016), 174-201. - P. Guan and L. Ni, Entropy
and a convergence theorem for Gauss curvature flow in high dimension,

Journal of European Mathematical Society, V.19, (2017), 3735-3761. - P. Guan, Z. Wang and X. Zhang, A proof of the Alexanderov's
uniqueness theorem for convex surfaces in R^3,

Annales de l'Institut Henri Poincaré / Analyse non linéaire, V. 33 (2016), 329-336. - P. Guan, P. Lu and Y. Xu, A rigidity theorem for codimension one shrinking gradient Ricci solitons in $\mathbb R^{n+1}$,

Calculus of Variations and PDEs, Volume 54, Issue 4, (2015) 4019-4036. - P. Guan and J. Li, A mean
curvature flow in space form,

International Mathematics Research Notices, Vol. 2015, NO. 13, (2015) 4716–4740. - P. Guan and X. Shen, A rigidity theorem for hypersurfaces in higher dimensional space forms,

Contemporary Mathematics, AMS. V.644, 2015. pp. 61-65. - P. Guan, C. Ren and Z. Wang, Global $C^2$ estimates
for convex solutions of curvature equations,

Communications on Pure and Applied Mathematics, Vol. LXVIII, (2015) 1287–1325. - P. Guan and L. Xu, Convexity
estimates for level sets of quasiconcave
solutions to fully nonlinear elliptic equations.

Journal fur die reine und angewandte Mathematiki, V.680, (2013) 41-67. - P. Guan and X. Zhang, Regularity
of the geodesic equation in the space of Sasakian
metrics

Advances in Mathematics, Volume 230, (2012) 321-371. - P. Guan, J. Li and Y.Y. Li, Hypersurfaces of prescribed curvature measures,

Duke Math. J. Vol. 161, No. 10 (2012), 1927-1942. - P. Guan and D. Phong, A
maximum rank problem for degenerate elliptic fully nonlinear equations.

Math. Ann.,354 (2012), 147-168. - P. Guan and D. Phong, Partial
Legendre transforms of nonlinear equations.

Proc. AMS. 140 (2012), 3831-3842. - B. Bian, P. Guan, X. Ma and
L. Xu, A constant rank
theorem for quasiconcave solutions of fully
nonlinear partial differential equations.

Indiana University Mathematics Journal, Vol. 60, (2011) 101-120. - P. Guan and X. Zhang, A Geodesic equation in the space of Sasakian
metrics

Geometry and Analysis I, pp. 303-318. Ed. Lizhen Ji, Advanced Lectures in Mathematics, International Press. - P. Guan, Remarks on the
homogeneous complex Monge-Amp\`ere equation

Complex Analysis, Trends in Mathematics, Spriner Basel AG. (2010), 175-185. - B. Bian and P. Guan, A structural condition for
microscopic convexity principle

Discrete and continuous dynamical systems Volume 28, (2010) 789-807. - P. Guan, Q. Li and X. Zhang, A
uniqueness theorem in K\"ahler geometry

Math. Ann. Vol. 345, (2009) 377-393. - B. Bian and P. Guan,
A Microscopic Convexity Principle for Nonlinear Partial Differential
Equations

Inventiones Mathematicae, V. 177, (2009), 307-335. - P. Guan and J. Li, The quermassintegral
inequalities for k-convex starshaped domains,

Advances in Mathematics 221 (2009) 1725-1732. - P. Guan, C.S. Lin and X. Ma, The
Existence of Convex Body with Prescribed Curvature Measures

International Mathematics Research Notices, Vol. 2009, (2009) 1947-1975. - P. Guan, X. Ma, N. Trudinger
and X. Zhu, A form of Alexandrov-Fenchel
inequality

Pure and Applied Mathematics Quarterly, V. 6, (2010), 999-1012. - P. Guan and E. Sawyer, Regularity
of Subelliptic Monge-Amp\`{e}re
Equations in the Plane

Transactions of American Mathematical Society, Vol. 361, No. 9, (2009), 4581-4591. - B. Bian and P. Guan, Convexity Preserving for Fully Nonlinear
Parabolic Integro-Differential Equations

Methods and Applications of Analysis, Vol. 15 (2008), 39-51. - L. Caffarelli, P. Guan and X.
Ma, A
constant rank theorem for solutions of fully nonlinear elliptic equations

Communications on Pure and Applied Mathematics, V. 60, (2007), 1769-1791 - P. Guan and G. Wang, Conformal
deformations of the smallest eigenvalue of the
Ricci tensor

American Journal of Mathematics, Vol. 129, (2007), 499-526. - P. Guan, C.S. Lin and G. Wang, Local
gradient estimates for quotient equations in conformal geometry

International Journal of Mathematics, Vol. 18, No. 4 (2007) 349-361 . - P. Guan, X. Ma and F. Zhou, The Christoffel-Minkowski
problem III: existence and convexity of admissible solutions

Communications on Pure and Applied Mathematics, V.59, (2006) 1352-1376. - P. Guan, C.S. Lin and X. Ma, The Christoffel-Minkowski problem II: Weingarten curvature
equations

Chinese Annals of Mathematics, Series B. Vol. 27B(6), (2006), 595-614 - P. Guan, C.S. Lin and G. Wang, Schouten
tensor and some topological properties

Communications in Analysis and Geometry, V.13, No. 5, (2005), pp. 887-902. - P. Guan and G. Wang, Geometric
inequalities on locally conformally flat
manifolds,

Duke Math. Journal, V.124, (2004), 177-212. - P. Guan, C.S. Lin and G. Wang, Application
of The Method of Moving Planes to Conformally
Invariant Equations

Mathematische Zeitschrift, V. 247 (2004), pp. 1-19. - P. Guan and X. Ma, Convex solutions
of fully nonlinear elliptic equations in classical differential geometry

"Geometric Evolution Equations", Workshop on Geometric Evolution Equations, Edited by S. Chang, B. Chow,

S. Chu and C.S. Lin, Contemp Math. V.367, AMS. (2004)115-128. - Pengfei Guan, Nonlinear
Degenerate Elliptic Equations

Proc. of ICCM2001, Taiwan, 2001. Edited by C.S. Lin, L. Yang and S.T. Yau, International Press, (2004), 257-266. - Pengfei Guan and Xinan Ma, The Christoffel-Minkowski
problem I: convexity of solutions of a Hessian equation

Inventiones Mathematicae, V.151 (2003), 553-577. - P. Guan and G. Wang, Local
estimates for a class of fully nonlinear equations arising from conformal
geometry

International Mathematics Research Notices, V. 2003, Issue 26(2003), 1413-1432 - Pengfei Guan and Guofang Wang, A fully
nonlinear conformal flow on locally conformally
flat manifolds

Journal fur die reine und angewandte Mathematik, V. 557 (2003), 219-238. - P. Guan, J. Viaclovsky and G.
Wang, Some properties of
the Schouten tensor and applications to conformal geometry

Transactions of American Math. Society, V.355 (2003), 925-933. - Bo Guan and Pengfei Guan, Convex Hypersurfaces
of Prescribed Curvature

Annals of Mathematics, 156(2002), 655-674. - Pengfei Guan, Extremal
Function associated to Intrinsic Norms

Annals of Mathematics, 156(2002), 197-211. - P. Guan, N. Trudinger and X.
Wang, On the Dirichlet problem
for degenerate Monge-Ampere equations,

Acta Mathematica, V. 182, (1999)pp. 87-104. - Pengfei Guan and Xujia Wang, On a Monge-Ampere Equation Arising in Geometric Optics,

Journal of Differential Geometry, V.48, (1998), 205-222. - Pengfei Guan, $C^2$
A Priori Estimates for Degenerate Monge-Ampere
Equations,

Duke Mathematical Journal, V86, (1997), 323-346. - Pengfei Guan and Yanyan Li, $C^{1,1}$ Regularity for Solutions of a Problem of Alexandrov,

Communications on Pure and Applied Mathematics, Vol.50, (1997), 789-811. - Pengfei Guan, Regularity
of a Class of Quasilinear Degenerate Ellitpic Equations,

Advances in Mathematics, Vol. 132 (1997), 24-45. - Pengfei Guan and Eric Sawyer, Oblique Derivative Problem,

CRM Proc. and Lecture Notes, Vol.12 (1997), 145-158. - Pengfei Guan, Quasilinear Degenerate Elliptic Equations in
Divergence Form,

Contemporary Mathematics, AMS, V205, (1997), 93-100. - Pengfei Guan and Eric Sawyer, Regularity Estimates for Oblique Derivative Problem on Nonsmooth Domains (II),

Chinese Annals of Mathematics, Ser.B., V.17, N.1, (1996),1-36. - Pengfei Guan and Eric Sawyer, Regularity Estiamtes for Oblique
Derivative Problem on Nonsmooth Domains (I),

Chinese Annals of Mathematics, Ser.B., V.16, N.3, (1995),299-324. - Pengfei Guan and Yanyan Li, On Weyl
Problem With Nonnegative Gauss Curvature.

Journal of Differential Geometry, V.39(1994) 331-342. - Pengfei Guan and Eric Sawyer, Regularity
Estimates of Oblique Derivative Problem.

Annals of Mathematics, 137(1993), 1-70. - Pengfei Guan, On An Example of Subelliptic
Boundary Value Problem.

Proceedins Symposia in Pure Mathematics,AMS, V.52(1991), 173-177. - Pengfei Guan, Holder
Regularity of Subelliptic Pseudo-differential
Operators.

Duke Mathematical Journal, V.60(1990), 563-598.