The Dirichlet Problem for Degenerate Hessian Equations
N. M. IvochkinaDepartment of Mathematics , St. Petersburg State University of Architecture and Civil Engineering , St. Petersburg, RussiaNeil S. TrudingerCentre for Mathematics and Its Applications , The Australian National University , Canberra, Australia ; Centre for Mathematics and Its Applications , The Australian National University , Canberra, ACT, 0200, AustraliaXu‐Jia WangCentre for Mathematics and Its Applications , The Australian National University , Canberra, Australia
2004en
ABI
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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.
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