Two dimensional Monge-Ampère equations under incomplete Hölder assumptions

Qi Rui Li

doi:10.4310/MRL.2017.v24.n2.a11

Two dimensional Monge-Ampère equations under incomplete Hölder assumptions

Qi Rui Li^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper, we study the regularity of solutions of the Monge-Ampère equation in two dimensions when the inhomogeneous term is Hölder continuous only in one variable or piecewise Hölder continuous.

Original language	English
Pages (from-to)	481-502
Number of pages	22
Journal	Mathematical Research Letters
Volume	24
Issue number	2
DOIs	https://doi.org/10.4310/MRL.2017.v24.n2.a11
Publication status	Published - 2017

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10.4310/MRL.2017.v24.n2.a11

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title = "Two dimensional Monge-Amp{\`e}re equations under incomplete H{\"o}lder assumptions",

abstract = "In this paper, we study the regularity of solutions of the Monge-Amp{\`e}re equation in two dimensions when the inhomogeneous term is H{\"o}lder continuous only in one variable or piecewise H{\"o}lder continuous.",

author = "Li, \{Qi Rui\}",

year = "2017",

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PY - 2017

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AB - In this paper, we study the regularity of solutions of the Monge-Ampère equation in two dimensions when the inhomogeneous term is Hölder continuous only in one variable or piecewise Hölder continuous.

UR - https://www.scopus.com/pages/publications/85025707679

U2 - 10.4310/MRL.2017.v24.n2.a11

DO - 10.4310/MRL.2017.v24.n2.a11

M3 - Article

SN - 1073-2780

VL - 24

SP - 481

EP - 502

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 2

ER -

Two dimensional Monge-Ampère equations under incomplete Hölder assumptions

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