C1 , 1 regularity of geodesics in the space of volume forms

Jianchun Chu

doi:10.1007/s00526-019-1648-3

C^{1 , 1} regularity of geodesics in the space of volume forms

Jianchun Chu^*

^*Corresponding author for this work

Mathematics

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

1 Scopus citations

Abstract

We prove a C^{1 , 1} estimate for solutions of a class of fully nonlinear equations introduced by Chen–He. As an application, we prove the C^{1 , 1} regularity of geodesics in the space of volume forms.

Original language	English (US)
Article number	194
Journal	Calculus of Variations and Partial Differential Equations
Volume	58
Issue number	6
DOIs	https://doi.org/10.1007/s00526-019-1648-3
State	Published - Dec 1 2019

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "C1 , 1 regularity of geodesics in the space of volume forms",

abstract = "We prove a C1 , 1 estimate for solutions of a class of fully nonlinear equations introduced by Chen–He. As an application, we prove the C1 , 1 regularity of geodesics in the space of volume forms.",

author = "Jianchun Chu",

note = "Publisher Copyright: {\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature.",

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C^{1 , 1} regularity of geodesics in the space of volume forms

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