Open AccessPARAMETER-UNIFORM ESTIMATES IN THE METRIC OF A FAMILY OF CLOSED CONVEX SURFACES WITH A GIVEN GAUSSIAN CURVATURE
Author(s) -
Tatyana Aleksandrovna Yuryeva,
Natalya Nikolaevna Dvoeryadkina
Publication year - 2021
Publication title -
vestnik amurskogo gosudarstvennogo universiteta. seriâ "estestvennye i èkonomičeskie nauki"
Language(s) - English
Resource type - Journals
ISSN - 2073-0268
DOI - 10.22250/jasu.93.4
Subject(s) - gaussian curvature , mathematics , metric (unit) , regular polygon , monge–ampère equation , curvature , mathematical analysis , gaussian , differential (mechanical device) , geometry , physics , operations management , quantum mechanics , economics , thermodynamics
The paper provides a proof of the boundedness of the solution of a family of Monge-Ampere differential one-parameter equations. The obtained result is used in the study of the unique solvability of the differential equation under study.