Guan, Pengfei A weighted gradient estimate for solutions of \(L^p\) Christoffel-Minkowski problem. (English) Zbl 07817702 Math. Eng. (Springfield) 5, No. 3, Paper No. 67, 14 p. (2023). MSC: 35-XX 62-XX PDFBibTeX XMLCite \textit{P. Guan}, Math. Eng. (Springfield) 5, No. 3, Paper No. 67, 14 p. (2023; Zbl 07817702) Full Text: DOI
Guan, Pengfei; Xia, Chao \(L^p\) Christoffel-Minkowski problem: the case \(1< p<k+1\). (English) Zbl 1395.52005 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 69, 23 p. (2018). Reviewer: Gabriela Cristescu (Arad) MSC: 52A20 52A39 53C45 PDFBibTeX XMLCite \textit{P. Guan} and \textit{C. Xia}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 69, 23 p. (2018; Zbl 1395.52005) Full Text: DOI arXiv
Guan, Pengfei; Ni, Lei Entropy and a convergence theorem for Gauss curvature flow in high dimension. (English) Zbl 1386.35180 J. Eur. Math. Soc. (JEMS) 19, No. 12, 3735-3761 (2017). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35K55 35B65 53A05 PDFBibTeX XMLCite \textit{P. Guan} and \textit{L. Ni}, J. Eur. Math. Soc. (JEMS) 19, No. 12, 3735--3761 (2017; Zbl 1386.35180) Full Text: DOI arXiv
Andrews, Ben; Guan, Pengfei; Ni, Lei Flow by powers of the Gauss curvature. (English) Zbl 1401.35159 Adv. Math. 299, 174-201 (2016). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35K55 35B65 53A05 PDFBibTeX XMLCite \textit{B. Andrews} et al., Adv. Math. 299, 174--201 (2016; Zbl 1401.35159) Full Text: DOI arXiv
Guan, Pengfei Curvature measures, isoperimetric type inequalities and fully nonlinear PDEs. (English) Zbl 1288.35002 Gutiérrez, Cristian E. (ed.) et al., Fully nonlinear PDEs in real and complex geometry and optics. Lecture notes of the CIME summer school, Cetraro, Italy, July 9–13, 2012. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-00941-4/pbk; 978-3-319-00942-1/ebook). Lecture Notes in Mathematics 2087. CIME Foundation Subseries, 47-94 (2014). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35-02 35B45 53C44 53C21 35K55 PDFBibTeX XMLCite \textit{P. Guan}, Lect. Notes Math. 2087, 47--94 (2014; Zbl 1288.35002) Full Text: DOI
Guan, Pengfei; Li, Junfang; Li, Yanyan Hypersurfaces of prescribed curvature measure. (English) Zbl 1254.53073 Duke Math. J. 161, No. 10, 1927-1942 (2012). Reviewer: Themistocles M. Rassias (Athens) MSC: 53C23 35J60 53C42 PDFBibTeX XMLCite \textit{P. Guan} et al., Duke Math. J. 161, No. 10, 1927--1942 (2012; Zbl 1254.53073) Full Text: DOI arXiv Euclid