I'm considering the Monge-Ampere equation in $\mathbb{R}^n$:
$\mathrm{det}(D_{ij}u)=f$.
I know that its linearized coefficient matrix is $\mathrm{cof}(D_{ij}u)$, i.e. the co-factor matrix of the Hessian. What are the eigenvalues of this matrix?
I'm considering the Monge-Ampere equation in $\mathbb{R}^n$:
$\mathrm{det}(D_{ij}u)=f$.
I know that its linearized coefficient matrix is $\mathrm{cof}(D_{ij}u)$, i.e. the co-factor matrix of the Hessian. What are the eigenvalues of this matrix?