The Dirichlet problem for degenerate elliptic 2-dimensional Monge-Ampère equation

DOI10.1017/S0004972700027015zbMath0652.35032MaRDI QIDQ3797579

Kazuo Amano

Publication date: 1988

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessMonge-Ampère problemcompact \(C^{\infty }\) submanifold

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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The Dirichlet Problem for Degenerate Elliptic Darboux Equation ⋮ Problème de Dirichlet pour une équation de Monge-Ampère réelle elliptique dégénérée en dimension $n$

Cites Work

• Sur les équations de Monge-Ampère. (About the Monge-Ampère equations)
• Sur les équations de Monge-Ampère. I
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS
• ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
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