Pengfei Guan

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Person:247771

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zbMath Open guan.pengfeiMaRDI QIDQ247771

List of research outcomes

PublicationDate of PublicationType
A weighted gradient estimate for solutions of \(L^p\) Christoffel-Minkowski problem2024-03-14Paper
On admissible square roots of non-negative \(C^{2, 2\alpha}\) functions2023-09-05Paper
Anisotropic flow, entropy and $L^p$-Minkowski problem2023-07-22Paper
A fully-nonlinear flow and quermassintegral inequalities in the sphere2022-06-03Paper
A fully-nonlinear flow and quermassintegral inequalities2022-03-21Paper
Isoperimetric Type Inequalities and Hypersurface Flows2021-07-01Paper
A class of curvature type equation2021-06-15Paper
A fully-nonlinear flow and quermassintegral inequalities in the sphere2021-02-15Paper
A class of curvature type equations2019-09-09Paper
Interior \(C^2\) regularity of convex solutions to prescribing scalar curvature equations2019-08-22Paper
A volume preserving flow and the isoperimetric problem in warped product spaces2019-08-07Paper
https://portal.mardi4nfdi.de/entity/Q46455582019-01-10Paper
\(L^p\) Christoffel-Minkowski problem: the case \(1< p<k+1\)2018-05-25Paper
Entropy and a convergence theorem for Gauss curvature flow in high dimension2017-12-29Paper
Curvature estimates for immersed hypersurfaces in Riemannian manifolds2017-04-13Paper
Flow by powers of the Gauss curvature2016-07-20Paper
A proof of Alexandrov's uniqueness theorem for convex surfaces in \(\mathbb R^3\)2016-03-03Paper
A Rigidity Theorem for Hypersurfaces in Higher Dimensional Space Forms2016-02-23Paper
A rigidity theorem for codimension one shrinking gradient Ricci solitons in \(\mathbb R^{n+1}\)2016-02-22Paper
https://portal.mardi4nfdi.de/entity/Q34634482016-01-14Paper
Global C2‐Estimates for Convex Solutions of Curvature Equations2015-07-28Paper
A Mean Curvature Type Flow in Space Forms2015-07-27Paper
Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs2014-01-31Paper
Partial Legendre transforms of non-linear equations2013-09-03Paper
Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations2013-08-16Paper
https://portal.mardi4nfdi.de/entity/Q46479552012-11-08Paper
A maximum rank problem for degenerate elliptic fully nonlinear equations2012-09-19Paper
Hypersurfaces of prescribed curvature measure2012-08-04Paper
A constant rank theorem for quasiconcave solutions of fully nonlinear partial differential equations2012-05-30Paper
Regularity of the geodesic equation in the space of Sasakian metrics2012-04-30Paper
A form of Alexandrov-Fenchel inequality2011-06-07Paper
https://portal.mardi4nfdi.de/entity/Q35758542010-07-28Paper
A structural condition for microscopic convexity principle2010-07-23Paper
A uniqueness theorem in Kähler geometry2009-09-22Paper
Regularity of subelliptic Monge-Ampère equations in the plane2009-09-11Paper
A microscopic convexity principle for nonlinear partial differential equations2009-08-10Paper
The Existence of Convex Body with Prescribed Curvature Measures2009-07-02Paper
Convexity preserving for fully nonlinear parabolic integro-differential equations2009-06-30Paper
The quermassintegral inequalities for \(k\)-convex starshaped domains2009-06-10Paper
A constant rank theorem for solutions of fully nonlinear elliptic equations2008-01-07Paper
The Christoffel-Minkowski problem. II: Weingarten curvature equations2007-08-20Paper
LOCAL GRADIENT ESTIMATES FOR QUOTIENT EQUATIONS IN CONFORMAL GEOMETRY2007-06-20Paper
Conformal deformations of the smallest eigenvalue of the Ricci tensor2007-05-14Paper
Schouten tensor and some topological properties2007-03-20Paper
The Christofel‐Minkowski problem III: Existence and convexity of admissible solutions2006-09-06Paper
https://portal.mardi4nfdi.de/entity/Q46685502005-04-19Paper
Application of the method of moving planes to conformally invariant equations2005-02-11Paper
Geometric inequalities on locally conformally flat manifolds2004-09-27Paper
Corrigendum: Convex hypersurfaces of prescribed curvature2004-05-27Paper
Convex hypersurfaces of prescribed curvatures2003-11-26Paper
The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation2003-08-17Paper
A fully nonlinear conformal flow on locally conformally flat manifolds2003-08-06Paper
Some properties of the Schouten tensor and applications to conformal geometry2003-01-07Paper
https://portal.mardi4nfdi.de/entity/Q48082702003-01-01Paper
The extremal function associated to intrinsic norms.2002-01-01Paper
On the Dirichlet problem for degenerate Monge-Ampère equations.2000-12-06Paper
On a Monge-Ampère equation arising in geometric optics1998-11-10Paper
https://portal.mardi4nfdi.de/entity/Q43691901998-07-19Paper
Regularity of a class of quasilinear degenerate elliptic equations1998-02-11Paper
https://portal.mardi4nfdi.de/entity/Q43481421998-01-18Paper
https://portal.mardi4nfdi.de/entity/Q43510251997-10-23Paper
\(C^ 2\) a priori estimates for degenerate Monge-Ampère equations1997-06-01Paper
Regularity estimates for the oblique derivative problem on non-smooth domains. II1997-01-05Paper
Regularity estimates for the oblique derivative problem on non-smooth domains. I1995-10-18Paper
The Weyl problem with nonnegative Gauss curvature1994-09-26Paper
Regularity estimates for the oblique derivative problem1993-06-29Paper
https://portal.mardi4nfdi.de/entity/Q39792401992-06-26Paper
Hölder regularity of subelliptic pseudodifferential operators1990-01-01Paper

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