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Author ID: xia.chao Recent zbMATH articles by "Xia, Chao"
Published as: Xia, Chao
Homepage: https://www.xmu.edu.my/2022/0123/c20630a446970/page.htm
External Links: MGP · Google Scholar · ResearchGate
Documents Indexed: 65 Publications since 2011, including 1 Book and 11 Additional arXiv Preprints
Reviewing Activity: 1 Review
Co-Authors: 23 Co-Authors with 53 Joint Publications
490 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 618 times in 366 Documents Cited by Year
A characterization of the Wulff shape by an overdetermined anisotropic PDE. Zbl 1232.35103
Wang, Guofang; Xia, Chao
61
2011
Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space. Zbl 1292.52008
Wang, Guofang; Xia, Chao
46
2014
Uniqueness of stable capillary hypersurfaces in a ball. Zbl 1444.53040
Wang, Guofang; Xia, Chao
39
2019
A generalization of Reilly’s formula and its applications to a new Heintze-Karcher type inequality. Zbl 1330.53049
Qiu, Guohuan; Xia, Chao
31
2015
Blow-up analysis of a Finsler-Liouville equation in two dimensions. Zbl 1233.35053
Wang, Guofang; Xia, Chao
30
2012
A sharp lower bound for the first eigenvalue on Finsler manifolds. Zbl 1286.35179
Wang, Guofang; Xia, Chao
29
2013
Locally constrained inverse curvature flows. Zbl 1427.53111
Scheuer, Julian; Xia, Chao
29
2019
An optimal anisotropic Poincaré inequality for convex domains. Zbl 1266.35120
Wang, Guofang; Xia, Chao
28
2012
\(L^p\) Christoffel-Minkowski problem: the case \(1< p<k+1\). Zbl 1395.52005
Guan, Pengfei; Xia, Chao
24
2018
An integral formula and its applications on sub-static manifolds. Zbl 1433.53059
Li, Junfang; Xia, Chao
24
2019
Inverse anisotropic mean curvature flow and a Minkowski type inequality. Zbl 1368.53046
Xia, Chao
19
2017
On a class of anisotropic problems. Zbl 1252.35006
Xia, Chao
19
2012
A Penrose inequality for graphs over Kottler space. Zbl 1308.83093
Ge, Yuxin; Wang, Guofang; Wu, Jie; Xia, Chao
19
2015
A Minkowski type inequality in space forms. Zbl 1355.53028
Xia, Chao
15
2016
Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball. Zbl 1494.53045
Scheuer, Julian; Wang, Guofang; Xia, Chao
14
2022
Classical Neumann problems for Hessian equations and Alexandrov-Fenchel’s inequalities. Zbl 1444.35066
Qiu, Guohuan; Xia, Chao
14
2019
Overdetermined boundary value problems in \(\mathbb{S}^n\). Zbl 1389.35236
Qiu, Guohuan; Xia, Chao
13
2017
An integral formula for affine connections. Zbl 1376.53032
Li, Junfang; Xia, Chao
12
2017
Local gradient estimate for harmonic functions on Finsler manifolds. Zbl 1316.53083
Xia, Chao
12
2014
Inverse anisotropic curvature flow from convex hypersurfaces. Zbl 1376.53088
Xia, Chao
10
2017
ABP estimate and geometric inequalities. Zbl 1380.53045
Xia, Chao; Zhang, Xiangwen
10
2017
On an anisotropic Minkowski problem. Zbl 1304.52007
Xia, Chao
10
2013
On problems related to an inequality of Andrews, De Lellis, and Topping. Zbl 1296.53094
Ge, Yuxin; Wang, Guofang; Xia, Chao
10
2013
A partially overdetermined problem in a half ball. Zbl 1423.35259
Guo, Jinyu; Xia, Chao
10
2019
Symmetrization with respect to mixed volumes. Zbl 1469.35008
Della Pietra, Francesco; Gavitone, Nunzia; Xia, Chao
8
2021
On rigidity of hypersurfaces with constant curvature functions in warped product manifolds. Zbl 1301.53054
Wu, Jie; Xia, Chao
8
2014
Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball. Zbl 1512.53039
Weng, Liangjun; Xia, Chao
8
2022
Liouville theorems for \(f\)-harmonic maps into Hadamard spaces. Zbl 1376.53083
Hua, Bobo; Liu, Shiping; Xia, Chao
7
2017
A Brunn-Minkowski inequality for a Finsler-Laplacian. Zbl 1235.52017
Wang, Guofang; Xia, Chao
7
2011
Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary. Zbl 1543.53088
Wang, Guofang; Weng, Liangjun; Xia, Chao
7
2024
Alexandrov’s theorem for anisotropic capillary hypersurfaces in the half-space. Zbl 1514.53104
Jia, Xiaohan; Wang, Guofang; Xia, Chao; Zhang, Xuwen
6
2023
The anisotropic \(p\)-capacity and the anisotropic Minkowski inequality. Zbl 1491.53052
Xia, Chao; Yin, Jiabin
5
2022
A note on local gradient estimate on Alexandrov spaces. Zbl 1305.53072
Hua, Bobo; Xia, Chao
4
2014
A Heintze-Karcher-type inequality for hypersurfaces with capillary boundary. Zbl 1514.53111
Jia, Xiaohan; Xia, Chao; Zhang, Xuwen
4
2023
Hypersurfaces with constant curvature quotients in warped product manifolds. Zbl 1317.53078
Wu, Jie; Xia, Chao
3
2015
Motion of level sets by inverse anisotropic mean curvature. Zbl 1534.53078
Della Pietra, Francesco; Gavitone, Nunzia; Xia, Chao
3
2023
Gauss-Bonnet-Chern mass and Alexandrov-Fenchel inequality. Zbl 1353.53045
Ge, Yuxin; Wang, Guofang; Wu, Jie; Xia, Chao
3
2016
Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space. Zbl 1506.53066
Guo, Jinyu; Wang, Guofang; Xia, Chao
3
2022
A partially overdetermined problem in domains with partial umbilical boundary in space forms. Zbl 1530.35161
Guo, Jinyu; Xia, Chao
3
2024
Two overdetermined problems for anisotropic \(p \)-Laplacian. Zbl 1496.35256
Xia, Chao; Yin, Jiabin
3
2022
Guan-Li type mean curvature flow for free boundary hypersurfaces in a ball. Zbl 1526.53090
Wang, Guofang; Xia, Chao
2
2022
Stability for Serrin’s problem and Alexandroff’s theorem in warped product manifolds. Zbl 1533.35217
Scheuer, Julian; Xia, Chao
2
2023
Stability for a second type partitioning problem. Zbl 1467.53007
Guo, Jinyu; Xia, Chao
2
2021
A locally constrained mean curvature type flow with free boundary in a hyperbolic ball. Zbl 1514.53123
Qiang, Tao; Weng, Liangjun; Xia, Chao
1
2023
Modal characteristic and nonlinear dynamic response of suspension bridge with lateral asymmetric stiffness. Zbl 1537.74103
Hui, Yi; Xia, Chao; Li, Ke; Qin, Jingwei; Xu, Liang
1
2023
A Minkowski-type inequality for capillary hypersurfaces in a half-space. Zbl 07856563
Wang, Guofang; Weng, Liangjun; Xia, Chao
1
2024
Escobar’s conjecture on a sharp lower bound for the first nonzero Steklov eigenvalue. Zbl 07923292
Xia, Chao; Xiong, Changwei
1
2024
Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary. Zbl 1543.53088
Wang, Guofang; Weng, Liangjun; Xia, Chao
7
2024
A partially overdetermined problem in domains with partial umbilical boundary in space forms. Zbl 1530.35161
Guo, Jinyu; Xia, Chao
3
2024
A Minkowski-type inequality for capillary hypersurfaces in a half-space. Zbl 07856563
Wang, Guofang; Weng, Liangjun; Xia, Chao
1
2024
Escobar’s conjecture on a sharp lower bound for the first nonzero Steklov eigenvalue. Zbl 07923292
Xia, Chao; Xiong, Changwei
1
2024
Alexandrov’s theorem for anisotropic capillary hypersurfaces in the half-space. Zbl 1514.53104
Jia, Xiaohan; Wang, Guofang; Xia, Chao; Zhang, Xuwen
6
2023
A Heintze-Karcher-type inequality for hypersurfaces with capillary boundary. Zbl 1514.53111
Jia, Xiaohan; Xia, Chao; Zhang, Xuwen
4
2023
Motion of level sets by inverse anisotropic mean curvature. Zbl 1534.53078
Della Pietra, Francesco; Gavitone, Nunzia; Xia, Chao
3
2023
Stability for Serrin’s problem and Alexandroff’s theorem in warped product manifolds. Zbl 1533.35217
Scheuer, Julian; Xia, Chao
2
2023
A locally constrained mean curvature type flow with free boundary in a hyperbolic ball. Zbl 1514.53123
Qiang, Tao; Weng, Liangjun; Xia, Chao
1
2023
Modal characteristic and nonlinear dynamic response of suspension bridge with lateral asymmetric stiffness. Zbl 1537.74103
Hui, Yi; Xia, Chao; Li, Ke; Qin, Jingwei; Xu, Liang
1
2023
Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball. Zbl 1494.53045
Scheuer, Julian; Wang, Guofang; Xia, Chao
14
2022
Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball. Zbl 1512.53039
Weng, Liangjun; Xia, Chao
8
2022
The anisotropic \(p\)-capacity and the anisotropic Minkowski inequality. Zbl 1491.53052
Xia, Chao; Yin, Jiabin
5
2022
Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space. Zbl 1506.53066
Guo, Jinyu; Wang, Guofang; Xia, Chao
3
2022
Two overdetermined problems for anisotropic \(p \)-Laplacian. Zbl 1496.35256
Xia, Chao; Yin, Jiabin
3
2022
Guan-Li type mean curvature flow for free boundary hypersurfaces in a ball. Zbl 1526.53090
Wang, Guofang; Xia, Chao
2
2022
Symmetrization with respect to mixed volumes. Zbl 1469.35008
Della Pietra, Francesco; Gavitone, Nunzia; Xia, Chao
8
2021
Stability for a second type partitioning problem. Zbl 1467.53007
Guo, Jinyu; Xia, Chao
2
2021
Uniqueness of stable capillary hypersurfaces in a ball. Zbl 1444.53040
Wang, Guofang; Xia, Chao
39
2019
Locally constrained inverse curvature flows. Zbl 1427.53111
Scheuer, Julian; Xia, Chao
29
2019
An integral formula and its applications on sub-static manifolds. Zbl 1433.53059
Li, Junfang; Xia, Chao
24
2019
Classical Neumann problems for Hessian equations and Alexandrov-Fenchel’s inequalities. Zbl 1444.35066
Qiu, Guohuan; Xia, Chao
14
2019
A partially overdetermined problem in a half ball. Zbl 1423.35259
Guo, Jinyu; Xia, Chao
10
2019
\(L^p\) Christoffel-Minkowski problem: the case \(1< p<k+1\). Zbl 1395.52005
Guan, Pengfei; Xia, Chao
24
2018
Inverse anisotropic mean curvature flow and a Minkowski type inequality. Zbl 1368.53046
Xia, Chao
19
2017
Overdetermined boundary value problems in \(\mathbb{S}^n\). Zbl 1389.35236
Qiu, Guohuan; Xia, Chao
13
2017
An integral formula for affine connections. Zbl 1376.53032
Li, Junfang; Xia, Chao
12
2017
Inverse anisotropic curvature flow from convex hypersurfaces. Zbl 1376.53088
Xia, Chao
10
2017
ABP estimate and geometric inequalities. Zbl 1380.53045
Xia, Chao; Zhang, Xiangwen
10
2017
Liouville theorems for \(f\)-harmonic maps into Hadamard spaces. Zbl 1376.53083
Hua, Bobo; Liu, Shiping; Xia, Chao
7
2017
A Minkowski type inequality in space forms. Zbl 1355.53028
Xia, Chao
15
2016
Gauss-Bonnet-Chern mass and Alexandrov-Fenchel inequality. Zbl 1353.53045
Ge, Yuxin; Wang, Guofang; Wu, Jie; Xia, Chao
3
2016
A generalization of Reilly’s formula and its applications to a new Heintze-Karcher type inequality. Zbl 1330.53049
Qiu, Guohuan; Xia, Chao
31
2015
A Penrose inequality for graphs over Kottler space. Zbl 1308.83093
Ge, Yuxin; Wang, Guofang; Wu, Jie; Xia, Chao
19
2015
Hypersurfaces with constant curvature quotients in warped product manifolds. Zbl 1317.53078
Wu, Jie; Xia, Chao
3
2015
Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space. Zbl 1292.52008
Wang, Guofang; Xia, Chao
46
2014
Local gradient estimate for harmonic functions on Finsler manifolds. Zbl 1316.53083
Xia, Chao
12
2014
On rigidity of hypersurfaces with constant curvature functions in warped product manifolds. Zbl 1301.53054
Wu, Jie; Xia, Chao
8
2014
A note on local gradient estimate on Alexandrov spaces. Zbl 1305.53072
Hua, Bobo; Xia, Chao
4
2014
A sharp lower bound for the first eigenvalue on Finsler manifolds. Zbl 1286.35179
Wang, Guofang; Xia, Chao
29
2013
On an anisotropic Minkowski problem. Zbl 1304.52007
Xia, Chao
10
2013
On problems related to an inequality of Andrews, De Lellis, and Topping. Zbl 1296.53094
Ge, Yuxin; Wang, Guofang; Xia, Chao
10
2013
Blow-up analysis of a Finsler-Liouville equation in two dimensions. Zbl 1233.35053
Wang, Guofang; Xia, Chao
30
2012
An optimal anisotropic Poincaré inequality for convex domains. Zbl 1266.35120
Wang, Guofang; Xia, Chao
28
2012
On a class of anisotropic problems. Zbl 1252.35006
Xia, Chao
19
2012
A characterization of the Wulff shape by an overdetermined anisotropic PDE. Zbl 1232.35103
Wang, Guofang; Xia, Chao
61
2011
A Brunn-Minkowski inequality for a Finsler-Laplacian. Zbl 1235.52017
Wang, Guofang; Xia, Chao
7
2011
all top 5

Cited by 360 Authors

29 Xia, Chao
15 Li, Haizhong
15 Wang, Guofang
11 Hu, Yingxiang
10 Scheuer, Julian
10 Wei, Yong
9 Della Pietra, Francesco
9 Weng, Liangjun
8 Ciraolo, Giulio
8 Poggesi, Giorgio
7 Chen, ChuanQiang
7 Gavitone, Nunzia
7 Li, Guanghan
7 Xia, Qiaoling
7 Zeng, Fanqi
6 Huang, Guangyue
6 Razani, Abdolrahman
6 Valdinoci, Enrico
6 Wu, Jie
6 Zhou, Tailong
5 Chen, Li
5 Garain, Prashanta
5 Guo, Jinyu
5 He, Qun
5 Jia, Xiaohan
5 Salani, Paolo
5 Zhang, Huichun
5 Zhou, Changliang
5 Zhou, Chunqin
4 Andrews, Ben
4 Barbu, Luminiţa
4 Chen, Zhengmao
4 Cheng, Xinyue
4 Figueiredo, Giovany Malcher
4 Fogagnolo, Mattia
4 Gao, Shanze
4 Ge, Yuxin
4 Ivaki, Mohammad N.
4 Lee, Jihye
4 Mazzieri, Lorenzo
4 Mei, Xinqun
4 Piscitelli, Gianpaolo
4 Seo, Keomkyo
4 Yin, Songting
4 Zhang, Xuwen
4 Zhu, Mingfang
3 Agostiniani, Virginia
3 Cheng, Xu
3 Ding, Shanwei
3 Dipierro, Serena
3 Dong, Weisong
3 Enache, Cristian
3 Farina, Alberto
3 Farkas, Csaba
3 Feng, Yalu
3 Girão, Frederico
3 Kristály, Alexandru
3 Kwong, Kwok-Kun
3 Li, Qirui
3 Li, Yuan
3 Lopes de Lima, Levi
3 Ma, Hui
3 Ma, Kuicheng
3 Mao, Jing
3 Ohta, Shin-ichi
3 Tu, Qiang
3 Xiong, Changwei
3 Xu, Botong
3 Yang, Yunlong
3 Zhang, Dekai
3 Zhang, Ruijia
3 Zhou, Detang
3 Zhu, Xiping
2 Alencar, Hilário
2 Barbosa, Ezequiel R.
2 Batista, Rondinelle Marcolino
2 Bianchini, Chiara
2 Brendle, Simon
2 Bryan, Paul
2 Cabezas-Rivas, Esther
2 Chai, Xiaoxiang
2 Chang, Huiting
2 Colombo, Giulio
2 Cozzi, Matteo
2 Cui, Jingshi
2 Delgadino, Matias Gonzalo
2 Di Blasio, Giuseppina
2 Fazly, Mostafa
2 Feng, Yibin
2 Gao, Zhenghuan
2 Huang, Qin
2 Jaroš, Jaroslav
2 Jiang, Yin
2 Ju, Hongjie
2 Ketterer, Christian
2 Kinnunen, Juha
2 Kupenko, Olha P.
2 Li, Boya
2 Lima, Barnabé Pessoa
2 Liu, Weiru
...and 260 more Authors
all top 5

Cited in 102 Serials

34 Calculus of Variations and Partial Differential Equations
31 The Journal of Geometric Analysis
19 Advances in Mathematics
16 Journal of Functional Analysis
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Proceedings of the American Mathematical Society
13 Journal of Differential Equations
11 Journal of Mathematical Analysis and Applications
9 Mathematische Annalen
9 Science China. Mathematics
8 Transactions of the American Mathematical Society
7 Annals of Global Analysis and Geometry
7 Discrete and Continuous Dynamical Systems
7 Advanced Nonlinear Studies
6 Differential Geometry and its Applications
6 Communications on Pure and Applied Analysis
6 Advances in Calculus of Variations
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Mathematische Zeitschrift
5 Pacific Journal of Mathematics
4 Mathematical Methods in the Applied Sciences
4 Manuscripta Mathematica
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Potential Analysis
4 Mediterranean Journal of Mathematics
4 Mathematics in Engineering
3 Archive for Rational Mechanics and Analysis
3 Mathematische Nachrichten
3 Results in Mathematics
2 Applicable Analysis
2 Classical and Quantum Gravity
2 Communications in Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Annales Polonici Mathematici
2 Bulletin of the London Mathematical Society
2 Colloquium Mathematicum
2 Geometriae Dedicata
2 Mathematika
2 Bulletin of the Korean Mathematical Society
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Revista Matemática Iberoamericana
2 International Journal of Mathematics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Geometric Methods in Modern Physics
2 Boundary Value Problems
2 Frontiers of Mathematics in China
2 Journal of Pseudo-Differential Operators and Applications
2 Analysis and Geometry in Metric Spaces
2 Advances in Nonlinear Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Letters in Mathematical Physics
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Archivum Mathematicum
1 Canadian Mathematical Bulletin
1 Indiana University Mathematics Journal
1 Journal of Differential Geometry
1 Journal of the Korean Mathematical Society
1 Journal für die Reine und Angewandte Mathematik
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Ricerche di Matematica
1 Studies in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Partial Differential Equations
1 Topological Methods in Nonlinear Analysis
1 Bulletin des Sciences Mathématiques
1 Advances in Differential Equations
1 Journal of Inequalities and Applications
1 Journal of the European Mathematical Society (JEMS)
1 Communications of the Korean Mathematical Society
1 Annales Henri Poincaré
1 Advances in Geometry
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Oberwolfach Reports
1 Journal of Mathematical Physics, Analysis, Geometry
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Discrete and Continuous Dynamical Systems. Series S
1 Analysis and Mathematical Physics
1 Bulletin of Mathematical Sciences
1 Communications in Mathematics and Statistics
1 European Journal of Mathematics
1 Open Mathematics
1 Peking Mathematical Journal
1 Electronic Research Archive
1 SN Partial Differential Equations and Applications
...and 2 more Serials

Citations by Year