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Pure and Applied Mathematics Quarterly
Volume 18 (2022)
Number 2
Special issue in honor of Joseph J. Kohn on the occasion of his 90th birthday
Guest Editors: J.E. Fornaess, Stanislaw Janeczko, Duong H. Phong, and Stephen S.T. Yau
Optimization results for sphere maps
Pages: 463 – 480
DOI: https://dx.doi.org/10.4310/PAMQ.2022.v18.n2.a5
Author
Abstract
We prove several optimization results for monomial and polynomial sphere maps. We formulate two open problems about the uniquely difficult situation in two dimensions.
Keywords
optimization, polynomial sphere maps, linear programming
2010 Mathematics Subject Classification
32H35, 32M99, 32V99, 90C05, 94A12
Received 12 February 2021
Accepted 25 May 2021
Published 13 May 2022