The k-hessian equation

Gursky, Matthew; Lanconelli, Ermanno; Malchiodi, Andrea; Tarantello, Gabriella; Wang, Xu-Jia; Yang, Paul

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The k-hessian equation

Date

2009

Authors

Gursky, Matthew

Lanconelli, Ermanno

Malchiodi, Andrea

Tarantello, Gabriella

Wang, Xu-Jia

Yang, Paul

Publisher

Springer

Abstract

The k-Hessian is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessian matrix. When k 2, the k-Hessian equation is a fully nonlinear partial differential equations. It is elliptic when restricted to k-admissible functions.

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http://hdl.handle.net/1885/80198

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ANU Research Publications

Source

Lecture Notes in Mathematics

Type

Journal article

DOI

10.1007/978-3-642-01674-5_5

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2037-12-31

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The k-hessian equation

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