The Donaldson equation

Abstract

In this short note, we solve a Dirichlet problem for a fully nonlinear elliptic equation. The operator is introduced by S. Donaldson and it is relevant to the geometry of the space of volume forms.

References in corpus (2)

• The Space of Kähler metrics (II)
• The space of volume forms

Cited by in corpus (4)

• The space of volume forms
• Partial Legendre transforms of non-linear equations
• Entire solutions of Donaldson's equation
• A maximum rank problem for degenerate elliptic fully nonlinear equations