Second Order Estimates for Non-Concave Hessian Type Elliptic Equations on Riemannian Manifolds
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@Article{JMS-48-275,
author = {Jiao , Heming},
title = {Second Order Estimates for Non-Concave Hessian Type Elliptic Equations on Riemannian Manifolds},
journal = {Journal of Mathematical Study},
year = {2015},
volume = {48},
number = {3},
pages = {275--289},
abstract = {
In this paper, we derive second order estimates for a class of non-concave Hessian type elliptic equations on Riemannian manifolds. By applying a new method for $C^2$ estimates, we can weaken some conditions, which works for some non-concave equations. Gradient estimates are also obtained.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v48n3.15.06}, url = {http://global-sci.org/intro/article_detail/jms/9930.html} }
TY - JOUR
T1 - Second Order Estimates for Non-Concave Hessian Type Elliptic Equations on Riemannian Manifolds
AU - Jiao , Heming
JO - Journal of Mathematical Study
VL - 3
SP - 275
EP - 289
PY - 2015
DA - 2015/09
SN - 48
DO - http://doi.org/10.4208/jms.v48n3.15.06
UR - https://global-sci.org/intro/article_detail/jms/9930.html
KW - Non-concave fully nonlinear elliptic equations, Riemannian manifolds, a priori estimates, Dirichlet problem, subsolutions.
AB -
In this paper, we derive second order estimates for a class of non-concave Hessian type elliptic equations on Riemannian manifolds. By applying a new method for $C^2$ estimates, we can weaken some conditions, which works for some non-concave equations. Gradient estimates are also obtained.
Heming Jiao. (2019). Second Order Estimates for Non-Concave Hessian Type Elliptic Equations on Riemannian Manifolds.
Journal of Mathematical Study. 48 (3).
275-289.
doi:10.4208/jms.v48n3.15.06
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