Urbas, John Oblique boundary value problems for equations of Monge-Ampère type. (English) Zbl 0912.35068 Calc. Var. Partial Differ. Equ. 7, No. 1, 19-39 (1998). 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) Cited in 30 Documents MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations Keywords:unique solution PDFBibTeX XMLCite \textit{J. Urbas}, Calc. Var. Partial Differ. Equ. 7, No. 1, 19--39 (1998; Zbl 0912.35068) Full Text: DOI