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On degenerate fully nonlinear elliptic equations in balls

Published online by Cambridge University Press:  17 April 2009

Neil S. Trudinger
Neil S. Trudinger
Affiliation:
Centre for Mathematical Analysis, Australian National University, GPO Box 4, Canberra ACT 2601, Australia.
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Abstract

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We establish derivative estimates and existence theorems for the Dirichlet and Neumann problems for nonlinear, degenerate elliptic equations of the form F (D2u) = g in balls. The degeneracy arises through the possible vanishing of the function g and the degenerate Monge-Ampère equation is covered as a special case.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 35 , Issue 2 , April 1987 , pp. 299 - 307
Copyright
Copyright © Australian Mathematical Society 1987

References

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