Barriers on cones for degenerate quasilinear elliptic operators

Barrier functions $w=|x|^lambda Phi(omega)$ are constructed for the first boundary value problem as well as for the mixed boundary value problem for quasilinear elliptic second order equation of divergent form with triple degeneracy on the $n$-dimensional convex circular cone: $$ {dover dx_i}(|x|^au|u|^q|abla u|^{m-2}u_{x_i})= mu |x|^au{|u|}^{q-1},{ m sgn,}u|abla u|^m,,$$ $$-11,,quadau>m-n,.$$