Translator Disclaimer
2018 On two symmetries in the theory of $m$-Hessian operators
Nina M. Ivochkina, Nadezhda V. Filimonenkova
Topol. Methods Nonlinear Anal. 52(1): 31-47 (2018). DOI: 10.12775/TMNA.2017.035

Abstract

The modern theory of fully nonlinear operators had been inspired by the skew symmetry of minors in cooperation with the symmetry of symmetric functions. We present some consequences of this interaction for $m$-Hessian operators. One of them is setting of the isoperimetric variational problem for Hessian integrals. The $m$-admissible minimizer is found that allows a new simple proof of the well-known Poincaré-type inequalities for Hessian integrals. Also a new set of inequalities, generated by a special finite set of functions, is presented.

Citation

Download Citation

Nina M. Ivochkina. Nadezhda V. Filimonenkova. "On two symmetries in the theory of $m$-Hessian operators." Topol. Methods Nonlinear Anal. 52 (1) 31 - 47, 2018. https://doi.org/10.12775/TMNA.2017.035

Information

Published: 2018
First available in Project Euclid: 17 February 2018

zbMATH: 07029860
MathSciNet: MR3867978
Digital Object Identifier: 10.12775/TMNA.2017.035

Rights: Copyright © 2018 Juliusz P. Schauder Centre for Nonlinear Studies

JOURNAL ARTICLE
17 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.52 • No. 1 • 2018
Back to Top