A third derivative estimate for Monge-Ampere equations with conic singularities

Gang Tian

doi:10.1007/s11401-017-1090-9

A third derivative estimate for Monge-Ampere equations with conic singularities

Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate, and consequently, a C^2,α-estimate, for complex Monge-Ampere equations in the conic case. This C^2,α-estimate was used by Jeffres-Mazzeo-Rubinstein in their proof of the existence of Kähler-Einstein metrics with conic singularities.

Original language	English (US)
Pages (from-to)	687-694
Number of pages	8
Journal	Chinese Annals of Mathematics. Series B
Volume	38
Issue number	2
DOIs	https://doi.org/10.1007/s11401-017-1090-9
State	Published - Mar 1 2017

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Keywords

C-estimate
Complex
Conic
Monge-Ampere

Access to Document

10.1007/s11401-017-1090-9

Cite this

@article{c1814b0d008d420694f4293e71fdd831,

title = "A third derivative estimate for Monge-Ampere equations with conic singularities",

abstract = "The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate, and consequently, a C2,α-estimate, for complex Monge-Ampere equations in the conic case. This C2,α-estimate was used by Jeffres-Mazzeo-Rubinstein in their proof of the existence of K{\"a}hler-Einstein metrics with conic singularities.",

keywords = "C-estimate, Complex, Conic, Monge-Ampere",

author = "Gang Tian",

year = "2017",

month = mar,

day = "1",

doi = "10.1007/s11401-017-1090-9",

language = "English (US)",

volume = "38",

pages = "687--694",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

publisher = "Springer Verlag",

number = "2",

}

TY - JOUR

T1 - A third derivative estimate for Monge-Ampere equations with conic singularities

AU - Tian, Gang

PY - 2017/3/1

Y1 - 2017/3/1

N2 - The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate, and consequently, a C2,α-estimate, for complex Monge-Ampere equations in the conic case. This C2,α-estimate was used by Jeffres-Mazzeo-Rubinstein in their proof of the existence of Kähler-Einstein metrics with conic singularities.

AB - The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate, and consequently, a C2,α-estimate, for complex Monge-Ampere equations in the conic case. This C2,α-estimate was used by Jeffres-Mazzeo-Rubinstein in their proof of the existence of Kähler-Einstein metrics with conic singularities.

KW - C-estimate

KW - Complex

KW - Conic

KW - Monge-Ampere

UR - http://www.scopus.com/inward/record.url?scp=85014648388&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85014648388&partnerID=8YFLogxK

U2 - 10.1007/s11401-017-1090-9

DO - 10.1007/s11401-017-1090-9

M3 - Article

AN - SCOPUS:85014648388

SN - 0252-9599

VL - 38

SP - 687

EP - 694

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 2

ER -

A third derivative estimate for Monge-Ampere equations with conic singularities

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this