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16 paper(s) uploaded by xiongge.

Index	Title	Upload Time	Modified Time
11	The Lp capacitary Minkowski problem for polytopes Xiong Ge Tongji University Xiong Jiawei Tongji University Xu Lu Hunan University Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2103.15001 Journal of Functional Analysis, 277, (9), 3131–3155, 2019 [ Download ] [ 2021-03-23 13:34:19 uploaded by xiongge ] [ 630 downloads ] [ 0 comments ] Abstract × Sufficient conditions are given for the existence of solutions to the discrete LpMinkowski problem for p-capacity when 0 <p <1and 1 <p <2. OK [ Abstract ] [ Full ] Please log in for comment!	2021-03-23 13:34:19	-
12	Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes Liu Yude Tongji University Sun Qiang Tongji University Xiong Ge Tongji University Convex and Discrete Geometry mathscidoc:2108.40001 Advances in Mathematics, 389, 107902, 2021.8 [ Download ] [ 2021-08-10 12:01:47 uploaded by xiongge ] [ 554 downloads ] [ 0 comments ] Abstract × The nth power of the volume functional Vnof polytopes P in R^n, according to dimensions of the spaces spanned by any nunit outer normal vectors of P, is decomposed into nhomogeneous polynomials of degree n. A set of new sharp affine isoperimetric inequalities for these volume decomposition functionals in R^3 are established, which essentially characterize the geometric and algebraic structures of polytopes. OK [ Abstract ] [ Full ] Please log in for comment!	2021-08-10 12:01:47	-
13	Sharp affine isoperimetric inequalities for the Minkowski first mixed volume Sun Qiang Tongji University Xiong Ge Tongji University Convex and Discrete Geometry mathscidoc:2108.40002 Bull. London Math. Soc., 52, 52 (2020) 161–174, 2020.6 [ Download ] [ 2021-08-10 12:06:57 uploaded by xiongge ] [ 477 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2021-08-10 12:06:57	-
14	A New Approach to the Minkowski First Mixed Volume and the LYZ Conjecture Lu Xinbao Tongji University Sun Qiang Tongji University Xiong Ge Tongji University Convex and Discrete Geometry mathscidoc:2108.40003 Discrete & Computational Geometry, 66, (2021)122–139, 2021.6 [ Download ] [ 2021-08-10 12:11:17 uploaded by xiongge ] [ 312 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2021-08-10 12:11:17	-
15	A New Affine Invariant Geometric Functional for Polytopes and Its Associated Affine Isoperimetric Inequalities Hu Jiaqi Fudan University Xiong Ge Tongji University Convex and Discrete Geometry mathscidoc:2108.40004 International Mathematics Research Notices, 2021, No. 12, pp. 8977–8995, 2021.5 [ Download ] [ 2021-08-10 12:14:30 uploaded by xiongge ] [ 539 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2021-08-10 12:14:30	-
16	The Lp Minkowski problem for the electrostatic P-capacity for P>n Xinbao Lu Tongji University Xiong Ge Tongji University Convex and Discrete Geometry mathscidoc:2112.40001 Indiana University Mathematics Journal, 70, (5), 1869-1901, 2021.11 [ Download ] [ 2021-12-03 14:10:00 uploaded by xiongge ] [ 1605 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2021-12-03 14:10:00	-

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