On a degenerate quasilinear elliptic equation with mixed bounded conditions (Q1110723)

The degenerate elliptic equation \[ D(| Du|^{p-2} Du)+| u|^{\alpha} u=f \] (where \(2<p\), \(\alpha\geq 0\) if \(p\geq n\), \(\alpha \leq n(p-1)(n-p)^{-1}\) if \(p<n)\) is studied in a bounded, simply connected set \(\Omega \subset R^ n\) with mixed boundary conditions. Regularity results on the solutions involving the distance from the boundary as weight are given.