The Dirichlet problem for a class of Hessian type equations

Heming Jiao; Tingting Wang

doi:10.1016/j.jmaa.2017.04.015

The Dirichlet problem for a class of Hessian type equations

Heming Jiao^*
, Tingting Wang

^*Corresponding author for this work

School of Mathematics

Jiuquan Satellite Launch Center

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

1 Scopus citations

Abstract

We are concerned with the Dirichlet problem for a class of Hessian type equations. Applying some new methods we are able to establish the C² estimates for an approximating problem under essentially optimal structure conditions. Based on these estimates, the existence of classical solutions is proved.

Original language	English
Pages (from-to)	509-528
Number of pages	20
Journal	Journal of Mathematical Analysis and Applications
Volume	453
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2017.04.015
State	Published - 1 Sep 2017

Keywords

Classical solutions
Hessian type equations
Interior second order estimates

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10.1016/j.jmaa.2017.04.015

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title = "The Dirichlet problem for a class of Hessian type equations",

abstract = "We are concerned with the Dirichlet problem for a class of Hessian type equations. Applying some new methods we are able to establish the C2 estimates for an approximating problem under essentially optimal structure conditions. Based on these estimates, the existence of classical solutions is proved.",

keywords = "Classical solutions, Hessian type equations, Interior second order estimates",

author = "Heming Jiao and Tingting Wang",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

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day = "1",

doi = "10.1016/j.jmaa.2017.04.015",

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AU - Jiao, Heming

AU - Wang, Tingting

PY - 2017/9/1

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AB - We are concerned with the Dirichlet problem for a class of Hessian type equations. Applying some new methods we are able to establish the C2 estimates for an approximating problem under essentially optimal structure conditions. Based on these estimates, the existence of classical solutions is proved.

KW - Classical solutions

KW - Hessian type equations

KW - Interior second order estimates

UR - https://www.scopus.com/pages/publications/85017452296

U2 - 10.1016/j.jmaa.2017.04.015

DO - 10.1016/j.jmaa.2017.04.015

M3 - 文章

AN - SCOPUS:85017452296

SN - 0022-247X

VL - 453

SP - 509

EP - 528

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

The Dirichlet problem for a class of Hessian type equations

Abstract

Keywords

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