%0 Journal Article %T Barriers on cones for degenerate quasilinear elliptic operators %A Michail Borsuk %A Dmitriy Portnyagin %J Electronic Journal of Differential Equations %D 1998 %I Texas State University %X 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: $$ {dover dx_i}(|x|^au|u|^q|abla u|^{m-2}u_{x_i})= mu |x|^au{|u|}^{q-1},{ m sgn,}u|abla u|^m,,$$ $$-11,,quadau>m-n,.$$ %K quasilinear elliptic equations %K barrier functions %K conical points. %U http://ejde.math.txstate.edu/Volumes/1998/11/abstr.html