Year: 2019
Author: Jiuzhou Huang
Journal of Mathematical Study, Vol. 52 (2019), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v52n1.19.07
Journal of Mathematical Study, Vol. 52 (2019), Iss. 1 : pp. 75–97
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Hessian operator eigenvalue problem constant rank theorem strict convexity.