The Convexity of a Fully Nonlinear Operator and Its Related Eigenvalue Problem
Cited by
Export citation
- BibTex
- RIS
- TXT
@Article{JMS-52-75,
author = {Huang , Jiuzhou},
title = {The Convexity of a Fully Nonlinear Operator and Its Related Eigenvalue Problem},
journal = {Journal of Mathematical Study},
year = {2019},
volume = {52},
number = {1},
pages = {75--97},
abstract = {
We first get an existence and uniqueness result for a nonlinear eigenvalue problem. Then, we establish the constant rank theorem for the problem and use it to get a convexity property of the solution.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v52n1.19.07}, url = {http://global-sci.org/intro/article_detail/jms/13050.html} }
TY - JOUR
T1 - The Convexity of a Fully Nonlinear Operator and Its Related Eigenvalue Problem
AU - Huang , Jiuzhou
JO - Journal of Mathematical Study
VL - 1
SP - 75
EP - 97
PY - 2019
DA - 2019/03
SN - 52
DO - http://doi.org/10.4208/jms.v52n1.19.07
UR - https://global-sci.org/intro/article_detail/jms/13050.html
KW - Hessian operator, eigenvalue problem, constant rank theorem, strict convexity.
AB -
We first get an existence and uniqueness result for a nonlinear eigenvalue problem. Then, we establish the constant rank theorem for the problem and use it to get a convexity property of the solution.
Jiuzhou Huang. (2019). The Convexity of a Fully Nonlinear Operator and Its Related Eigenvalue Problem.
Journal of Mathematical Study. 52 (1).
75-97.
doi:10.4208/jms.v52n1.19.07
Copy to clipboard