Contemporary Mathematics. Fundamental Directions
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Contemporary Mathematics. Fundamental Directions, 2012, Volume 45, Pages 94–104 (Mi cmfd215)  
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
Full-text PDF (180 kB) Citations (7)
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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.
English version:
Journal of Mathematical Sciences, 2014, Volume 201, Issue 5, Pages 634–644
DOI: https://doi.org/10.1007/s10958-014-2016-7
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Ivo12}
\by N.~M.~Ivochkina
\paper From G\aa rding's cones to $p$-convex hypersurfaces
\inbook Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2011). Part~1
\serial CMFD
\yr 2012
\vol 45
\pages 94--104
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd215}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3087053}
\transl
\jour Journal of Mathematical Sciences
\yr 2014
\vol 201
\issue 5
\pages 634--644
\crossref{https://doi.org/10.1007/s10958-014-2016-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84905873879}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
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