The Dirichlet Problem for Degenerate Hessian Equations

200482 citationsJournal Article

Authors

N. M. Ivochkina · Saint Petersburg State University of Architecture and Civil Engineering

Neil S. Trudinger · Australian National University

Xu‐Jia Wang · Australian National University

Abstract

Abstract In this paper, we study the Dirichlet problem for a class of fully nonlinear degenerate elliptic equations which depend only on the eigenvalues of the Hessian matrix. We provide a new and simpler approach to the estimation of second derivatives, through differentiation with respect to vector fields with skew-symmetric Jacobians.

Topics & Keywords

Nonlinear Partial Differential Equations Geometric Analysis and Curvature Flows Advanced Mathematical Modeling in Engineering

Publication Details

Published in: Communications in Partial Differential Equations

Volume 29, Issue 1-2, pp. 219-235

DOI: 10.1081/pde-120028851

Field-Weighted Citation Impact: 3.23

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The Dirichlet Problem for Degenerate Hessian Equations

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Abstract

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Publication Details