The Convexity of a Fully Nonlinear Operator and Its Related Eigenvalue Problem

Authors

  • Jiuzhou Huang School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, P.R. China

DOI:

https://doi.org/10.4208/jms.v52n1.19.07

Keywords:

Hessian operator, eigenvalue problem, constant rank theorem, strict convexity.

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.

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Published

2019-03-06

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Issue

Vol. 52 No. 1 (2019)

Section

Articles

How to Cite

The Convexity of a Fully Nonlinear Operator and Its Related Eigenvalue Problem. (2019). Journal of Mathematical Study, 52(1), 75-97. https://doi.org/10.4208/jms.v52n1.19.07