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Contemporary Mathematics. Fundamental Directions, 2012, Volume 45, Pages 94–104
(Mi cmfd215)
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This article is cited in 6 scientific papers (total in 7 papers)
From Gårding's cones to $p$-convex hypersurfaces
N. M. Ivochkina St. Petersburg State University of Architecture and Civil Engineering, St. Petersburg, Russia
Abstract:
We consider cones discovered by Gårding in 1959. They play the fundamental role in the modern theory of fully nonlinear second-order partial differential equations. A new classification of symmetric matrices is presented based on the $m$-positiveness property. Such a classification establishes a new trend in geometry, generating a notion of $m$-convex hypersurfaces.
Citation:
N. M. Ivochkina, “From Gårding's cones to $p$-convex hypersurfaces”, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 1, CMFD, 45, PFUR, M., 2012, 94–104; Journal of Mathematical Sciences, 201:5 (2014), 634–644
Linking options:
https://www.mathnet.ru/eng/cmfd215 https://www.mathnet.ru/eng/cmfd/v45/p94
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Abstract page: | 314 | Full-text PDF : | 99 | References: | 44 |
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