@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} }