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 - <p style="text-align: justify;">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.</p>