Resolutivity and invariance for the Perron method for degenerate equations of divergence type

Anders Björn, Jana Björn, Abubakar Mwasa

We consider Perron solutions to the Dirichlet problem for the quasilinear elliptic equation $\mathrm{div}\mathcal{A}(x,\nabla u)=0$ in a bounded open set $Ω\subset\mathbf{R}^…