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Oblique boundary value problems for equations of Monge-Ampère type. (English) Zbl 0912.35068

The type of problem studied is \[ \text{det }D^2u= f(x,u,Du)\quad \text{in }\Omega,\quad D_\beta u+ \phi(x, u)=0\quad\text{on }\partial\Omega, \] where \(\Omega\) is a bounded uniformly convex domain and \(\beta\) a smooth oblique vector field. The author proves the existence of a unique solution under appropriate conditions.
Reviewer: R.Sperb (Zürich)

MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations

Keywords:

unique solution
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