Journal of Differential Equations

, volume 363 , pages 350-390

On the L Gaussian Minkowski problem

Yu Feng ^{1, 2}

Shengnan Hu ¹

Lei Xu ¹

Hide authors affiliations Show authors affiliations: 2 affiliations

School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, PR China |

School of Mathematics and Statistics, Hexi University, Zhangye, 734000, PR China |

Publication type: Journal Article

Publication date: 2023-08-01

Elsevier

Journal of Differential Equations

scimago Q1

wos Q1

SJR: 2.034

CiteScore: 4.3

Impact factor: 2.3

ISSN: 00220396, 10902732

DOI: 10.1016/j.jde.2023.03.026

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Applied Mathematics

Analysis

Abstract

We will be concerned with the Lp Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p≤0 (resp. p≥1) will be provided.

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GOST |

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GOST Copy

Feng Yu. et al. On the L Gaussian Minkowski problem // Journal of Differential Equations. 2023. Vol. 363. pp. 350-390.

GOST all authors (up to 50) Copy

Feng Yu., Hu S., Xu L. On the L Gaussian Minkowski problem // Journal of Differential Equations. 2023. Vol. 363. pp. 350-390.

RIS |

Cite this

RIS Copy

TY - JOUR

DO - 10.1016/j.jde.2023.03.026

UR - https://doi.org/10.1016/j.jde.2023.03.026

TI - On the L Gaussian Minkowski problem

T2 - Journal of Differential Equations

AU - Feng, Yu

AU - Hu, Shengnan

AU - Xu, Lei

PY - 2023

DA - 2023/08/01

PB - Elsevier

SP - 350-390

VL - 363

SN - 0022-0396

SN - 1090-2732

ER -

BibTex

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BibTex (up to 50 authors) Copy

@article{2023_Feng,

author = {Yu Feng and Shengnan Hu and Lei Xu},

title = {On the L Gaussian Minkowski problem},

journal = {Journal of Differential Equations},

year = {2023},

volume = {363},

publisher = {Elsevier},

month = {aug},

url = {https://doi.org/10.1016/j.jde.2023.03.026},

pages = {350--390},

doi = {10.1016/j.jde.2023.03.026}

}

Publisher

Elsevier

Journal

Journal of Differential Equations

scimago Q1

wos Q1

SJR

2.034

CiteScore

4.3

Impact factor

2.3

ISSN

00220396 (Print)

10902732 (Electronic)