On degenerate fully nonlinear elliptic equations in balls-Reference-Cited by-同舟云学术

On degenerate fully nonlinear elliptic equations in balls

Published:1987-04 Issue:2 Volume:35 Page:299-307
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Trudinger Neil S.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

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3. Sur les equations de Monge-Ampere. I

4. Nonlinear oblique boundary value problems for nonlinear elliptic equations

5. An a priori estimate of for convex solutions of the Dirichlet problem for the Monge-Ampère equations;Ivochkina;Zep. Naucn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.,1980

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